LINES AND ANGLES
1) The measure of an angle which is 24° more than its complement is
a) 66° b) 57° c) 156° d) 114°
2) The measure of an angle which is 32° less than the supplement is
a) 148° b) 58° c) 74° d) 122°
3) The measure of an angle which is four times is complement is
a) 78° b) 76° c) 72° d) 74°
4) If the supplement of an angle is 4 times of its complement, then the angle is
a) 60° b) 40° c) 50° d) 70°
5) if two complementary angles are in the ratio 2 :3, then the angles are
a) 58°, 32° b) 50°,40° c) 56°, 34° d) 36°,54°
6) angle P and Q are complementary angles. if they are represented by the expressions m angle Q and m angle P= 2y + 30°, then their measures respectively are
a) 70°, 20° b) 20°,70° c) 10°,80° d) 80°,10°
7) In the given figures ,
which pairs of angles represent a linear pair ?
a) (i and (iii) b) (iii) and (iv) c) (iii) and (v) d) (i), (ii) and (v)
8) If in the given figure,
OA and OB are opposite rays, then the value of x is
a) 40 b) 44 c) 46 d) 42
9) The value of x that will make POQ a straight line is
a) 30 b) 25 c) 35 d) 40
10) In the given figure,
if POQ is a straight line, then the value of x is
a) 20° b) 30° c) 40° d) 50°
11) In the given figure,
angle AOC=50°, then Angle AOD+ angle COB is equal to
a) 100° b) 140° c) 260° d) 130°
12) In the given figure
AB||CD . Transversal PQ intersects AB at E and CD at F. Given angle CFQ= 47°, the measure of X and y respectively are
a) 30°,150° b) 37°,143° c) 47°,133° d) 39°,141°
13) In the given figure,
l ||| m || n. If x: y= 5:4, then the measure of angle z is
a) 40° b) 50° c) 90° d) 80°.
14) In the given figure,
AB|| CD || EF and GH|| KL. The measure of angle HKL is
a) 95° b) 145° c) 130° d) 135°
15) The measure of x in the given figure is
a) 125° b) 70° c) 105° d) 100°
16) In the given figure,
if l || m, then the value of x is
a) 18° b) 72° c) 54° d) 100°
17) In the given figure
AB|| CD and EF || BD. If angle= 65°, then the measure of angle CFE is
a) 120° b) 115° c) 65° d) 165°
18) In the given figure,
if l || m, then the measure of x is
a) 70° b) 100° c) 40° d) 30°
19) In the adjoining figure,
if l || m and n ⊥ m, then the measure of angle P is
a) 48° b) 42° c) 90° d) 38°
20) In the given figure,
if l || m then the measure of angle x is
a) 65° b) 40° c) 25° d) 90°
21) If two angles of a triangle are complementary, then it is
a) a right triangle
b) ab obtuse angled triangle
c) an acute angled triangle
d) an equilateral triangle
22) An exterior angle of a triangle is 110° and its two opposite interior angles are equal. Each of these equal angles is
a) 70° b) 55° c) 35° d) 110°
23) The angles of a triangle are in the ratio 4:5:9. The triangle is
a) an isosceles triangle
b) an obtuse angled triangle
c) an acute angled triangle
d) a right triangle
24) An exterior angle is drawn to a triangle. if this exterior angle is acute, then the triangle must be
a) an acute angled triangle
b) a right triangle
c) an obtuse angled triangle
d) an equilateral triangle
25) If the measure of each base angle of an isosceles triangle is seven times the measure of the vertex angle, then the measure of the vertex angle is
a) 84° b) 48° c) 12° d) 24°
26) if the vertex of an isosceles triangle is 80° the measure of an exterior angle to one of the base angles of this triangle is
a) 100° b) 120° c) 110° d) 130°
27) In the given figure,
if PQ || RS and angle ACS = 120°, then angle BAC is equal to
a) 53° b) 77° c) 50⁰ d) 107°
28) The value of x in the given figure
is
a) 100° b) 70° c) 110° d) 150°
29) The base of triangle ABC is produced both ways and the measures of exterior angles formed are 94° and 126°.
Then, the measure of angle BAC is
a) 94° b) 54° c) 40° d) 44°
30) The value of x
in the given figure is
a) 65° b) 95° c) 80° d) 120°
31) If one of the angles of an isosceles triangle is 125°, then the angle between the bisectors of the other two angles is
a) 125.5° b) 152.5° c) 152° d) 125°
32) ∆ ABC is a right triangle in which angle A is a right angle. AL is drawn perpendicular to BC. If angle BAL is 35°, then the measure of angle ACB is
a) 70° b) 17.5° c) 35° d) 105°
33) ABC is an equilateral triangle and BDC is an isosceles triangle right angled at D. Angle ABD is equal to
a) 45° b) 60° c) 105° d) 120°
34) The side BC of ∆ ABC is produced to point D.
The bisector of angle ABC and ACD meet at a point E. If angle BAC= 68°, then the measure of angle BEC is
a) 30° b) 32° c) 36° d) 34°
35) In the given figure,
AB || CD, then the value of x and y respectively are
a) 25°, 65° b) 60°,30° c) 65°, 25° d) 40°,50°
36) In the given figure,
ABCD is a quadrilateral in which angle ABC= 73°, angle C= 97° and angle D= 110°. If AE|| DC and BE || AD and AE intersect BC at F, then the measure of angle EBF is
a) 23° b) 70° c) 10° d) 27°
37) The angle between the bisectors of two acute angles of a right triangle is
a) 135° b) 120° c) 90° d) 150°
38) The measure of x in the given figure is
a) 35° b) 25° c) 30° d) 20°
39) in the given figure,
AB || CD. Transversal EF intersects AB at P and CD at Q. Angle PRQ= x, angle RPQ= y. If angle APR= 25°, angle RQC= 30° and CQF= 65°, then the measures of angle x and y respectively are
a)55°,40° b) 50°,45° c) 60°, 35° d) 35°,60°
40) If the bisector of the bese angles of a triangle enclose an angle of 135°, then the triangle is
a) an acute angle triangle
b) an obtuse angled triangle
c) an equilateral triangle
d) a right triangle
41) In the figure given alongside,
if AB || CF and CD || FE, then the value of x is
a) 40° b) 65° c) 75° d) 105°
42) In the given figure,
if AB || CD , then the value of x is
a) 97° b) 100° c) 107° d) 45°
43) BO and CO, the bisectors of angle B and C respectively, of ∆ ABC, meet at O. If angle = 60°, then the measure of angle BOC is
a) 100° b) 90° c) 120° d) 150°
44) If two parallel lines of cut by a transversal, then the bisectors of the interior angles on the same side of the transversal intersect each other at
a) 60° b) 90° c) 100° d) 120°
45) if two parallel lines are interesected by a transversal, then the bisectors of the interior angles form a
a) kite b) Rhombus c) rectangle d) trapezium
46) ABC is a triangle in which BE ⊥ AC and CD⊥ AB, BE and CD intersect at O.
If angle BAC = 75°, then the measure of angle BOC is
a) 100° b) 105° c) 75° d) 115°
47) ABC is a right angle triangle, right angled at B.
BC = BA. D is a point on AC produced and a line DEF cuts CB at E, AB at F. If angle D = 13° and angle FAE= 29°, then the measure of angle FEA is
a) 31° b) 42° c) 29° d) 16°
48) In ∆ XYZ, XY= XZ.
A straight line cuts XZ at P, YZ at Q and XY produced at R. If YQ= YR and QP = QZ, then the measure of angle PQY is
a) 100° b) 124° c) 144° d) 140°
49) ABCD is a square,
if AP= PQ and QRC= 35°, then the measure of angle PAQ is
a) 40° b) 35° c) 30° d) 25°
50) In the given figure,
if AB divides angle DAC in the ratio 1:3, then the measure of angle marked x is
a) 108° b) 100° c) 80° d) 90°
1b 2c 3c 4a 5d 6a 7d 8d 9a 10b 11c 12c 13d 14b 15a 16c 17b 18c 19a 20d 21a 22b 23d 24c 25c 26d 27b 28a 29c 30d 31b 32c 33c 34d 35b 36d 37a 38c 39a 40d 41d 42a 43c 44b 45c 46b 47c 48c 49a 50d
BOOSTER - B
Short Answer Questions
1) ABC is a right angle triangle in which angle A= 90° and AB= AC. Find the values of angle B and C.
2) In the given figure,
show that AB || EF.
3) OD is the bisector of angle AOC. OE is the bisector of angle BOC and OD ⊥ OE,
show that the point A, O and B are collinear.
4) in the given figure,
bisectors PR and QS of the alternate interior angles are parallel. Show that l || m.
5) in the given figure,
BA || QP and BC|| QR. Show that anyABC= Angle PQR.
6) in the given figure,
BA || PQ and BC || QR. Show that angle ABC+ angle PQR= 180°.
7) In the given figure alongside,
AB || DE. Find the measure of angle BCD.
8) in the given figure,
find x if AB || CD.
9) Three coplanar lines intersect at O forming angles as shown in the figure.
Find the values of x,y,z and y.
10) The exterior angles obtained on producing the base of a triangle both ways are 100° and 120°. Find all the angles of the triangle.
11) in the given figure,
AB|| CD and EF|| BC. angle BAC= 65°, angle DHF= 35°, find angle AGH.
12) Prove that if two parallel lines are intersected by a transversal , then bisectors of any two corresponding angles are parallel.
13) Prove that if two lines are perpendicular to the same line then these lines are parallel to each other.
14) m and n are two plane mirrors parallel to each other.
Prove that the incident ray CA is parallel to the reflected ray BD.
15) Find the value of x and terms of right angles.
1) 45, 45. 7) 40 8) 130 9) 40, 50,90,40 10) 80,60,40 11) 100 15) 3 rt angle s
UNIT TEST - A (MM 50)
Multiple choice questions (1 mark each)
1) In the given figure,
ABCD is a rectangle in which angle AOB= 100°. The value of x is
a) 40° b) 50° c) 60° d) 70°
2) In the given figure,
the value of x is
a) 55° b) 70° c) 35° d) 110°
3) In the given figure,
If AOB is a straight line, then the value of x is
a) 27° b) 126° c) 63° d) 54°
4) In the given figure,
if x: y = 1:4, then the value of x and y are respectively.
a) 36° and 144° b) 18° and 72° c) 144° and 36° d) 72° and 18°
5) In the given figure,
if l || m, then the values of x and y are respectively.
a) 60°, 120° b) 55°, 125° c) 70°,110° d) 50°,130°
6) In the given figure
if p || q and l || m, then the measure of x is
a)100° b) 90° c) 80° d) 105°
7) The measure of x in
the given figure is
a) 115° b) 85° c) 80° d) 95°
8) If AB|| CD, find the measure of x.
a) 9° b) 11° c) 22° d) 18°
Short Answer Questions (2 Marks each)
9) in the given figure,
POQ is a straight line. Find the value of x.
10) In the adjoining figure,
ABC is a straight line. Find the value of x.
11) In the given figure,
a: b: c= 2 :5:3. If AOB is a straight line, find the value of a, b and c.
12) If a ray OZ stands on the line XY such that Angle XOZ= Angle ZOY, show that angle XOZ = 90°.
13) Two lines
AB and CD intersect at O such that angle BOC+ AOD = 290°. Find all the four angles.
14) If a line is perpendicular to one of the two given parallel lines, prove that it is also perpendicular to the other line.
15) in the given figure,
the side BC of ∆ ABC is produced to a point D. If the bisectors of angle ABC and angle ACD meet at E, then show that angle BEC= (1/2) Angle BAC.
16) In the given figure,
PS bisects angle TPQ and ∆ PQR is an isosceles triangle. Prove that PS || RQ.
Short Answer Questions (3 Marks each)
17 AB|| DE and BD|| FG.
If angle FGH= 125° and angle B= 55°, find angle x and y.
18) ABCD is a trapezium.
EF is parallel to AD and BC. Find the measures of the angles marked x,y,z and p.
19) In the given figure,
AB and CD are two straight lines, intersecting each other at point O. If angle COE= 90°, find the values of x, y and z.
20) in the given figure,
if AB || CD , angle 1= (3x +15)°, angle 3= (x + 5y)° and angle 5= (7y +2)°, find the measure of angle 6.
21) In the given figure,
AB || CD. Find the value of x.
22) In the given figure,
AE || BD, and CA|| DE. Find the measure of x and y.
Long Answer Questions (4 Marks each)
23) if two parallel lines are intersected by a transversal , then show that the quadrilateral formed by the bisectors of two pairs of interior angles is a rectangle.
24) In the given figure,
AB= AC. D is a point on AC and E on AB such that AD = ED= BC. Prove that angle AED= angle BCE.
1b 2a 3c 4a 5b 6b 7a 8d
9) 59 10) 28 11) 36,90,54 13) 145,35,145,35 17) 70,55 18) 50,60,50,70 19) 30,60,120. 20) 45 21) 46 22) 65,65
⊥ °
HERON FORMULA
BOOSTER - A
1) The area of the triangle with the base 8cm and height 10cm is
a) 80cm² b) 40cm² c) 20cm² d) 18 cm²
2) The sides of a triangle are 12cm, 16cm and 20 cm. Its area is
a)48cm² b) 120cm² c) 96 cm² d) 160 cm²
3) The area of a triangle whose sides are 3cm, 4cm and 5cm is
a) 42cm² b) 6cm² c) 84cm² d) 100cm²
4) If the perimeter of an equilateral triangle is 24m, then its area is
a) 20√3m² b) 16√3m² d) 8√3 m² d) 24√3 m²
5) If the area of the equilateral triangle is 16√3cm², then the perimeter of the triangle is
a) 12cm b) 24cm c) 48cm d) 36cm
6) the edges of a triangle board are 6cm, 8cm and 10 cm. The cost of painting it at the rate of 70 paise per cm² is
a) Rs 7 b) Rs 16.80 c) Rs 17 d) Rs 16
7) The perimeter of a Rhombus is 20cm. If one of its diagonals is 6cm, then its area is
a) 28 cm² b) 36cm² c) 24 cm² d) 20cm²
8) An isosceles right triangle has an area 8cm². The length of the hypotenuse is
a) 6cm b) √32cm c) 8cm d) 4cm
9) The area of an isosceles triangle having base 24 cm and length of one of the equal side is 20cm is
a) 480cm² b) 196cm² c) 240cm² d) 192cm²
10) The perimeter of an isosceles triangle is 32 cm. The ratio of equal side to its base is 3:2. Then area of the triangle is
a) 32√2 cm² b) 32cm² c) 16 √2cm² d) 16cm²
11) If the perimeter and base of an isosceles triangle are 11cm and 5cm respectively, then it's area is
a) 5√11cm² b) 5√11/2 cm² c) 5√11/8 cm² d) 5√11/4 cm²
12) If the difference between the semi-perimetre 's' and the sides 'a', 'b' and 'c' of ∆ ABC are 8cm, 7 cm and 6cm respectively, then ar(∆ ABC) is
a) 63cm² b) 42 cm² c) 84 cm² d) 168 cm²
13) thre sides of a triangle are 13cm, 14cm and 15cm. The length of the shortest altitude is
a) 12cm b) 11.2cm c) 12.9cm d) 11.9cm
14) The sides of a triangle are 17cm, 25cm and 26cm. The length of the altitude to the longest side correct up to two places of decimals is
a) 16.32cm b) 34.00cm c) 15.69cm d) 24.00cm
15) If the perimeter of rhombus whose diagonals measure by 12cm and 16 cm is equal to the perimeter of an isosceles triangle having the equal side and the base in the ratio 3:2, then the area of the isosceles triangle is
a) 500√2cm² b) 25√2 cm² c) 75√2 cm² d) 100√2cm²
1b 2c 3b 4b 5b 6b 7c 8b 9d 10a 11d 12c 13b 14c 15a
BOOSTER - A(1)
Short answer Questions
1) Find the area of a triangle whose base and attitude is 10cm and 7cm respectively .
2) Find the area of a triangle whose sides are 13 cm, 14 cm and 15cm.
3) Find the area of a triangle, two sides of which are 9cm and 12cm and the perimeter is 36 cm.
4) The sides of a triangle are in the ratio 3 : 5 : 7. Find its area if its perimeter is 60cm.
5) Find the area of an equilateral triangle whose perimeter is 24cm.
6) The height of an equilateral triangle is 6cm. Find the area of the triangle.(Take √3= 1.732).
7) Find the area of an isosceles triangle each of whose equal sides is 13cm and whose base is 24cm.
8) Find the percentage increase in the area of a triangle if each of its side is doubled .
9) A rhombus shaped sheet with perimeter 40 cm and diagonal 12cm is painted on both sides at the rate of Rs 5 per cm². Find the cost of painting.
10) Find the cost of printing the shaded area shown in the given figure, at the rate of Rs 1 per cm². (Take √3= 1.73).
1) 35cm² 2) 84cm² 3) 54cm² 4) 60√3cm² 5) 16√3cm² 6) 20.784cm² 7) 60cm² 8) 300% 9) Rs 960 10) Rs 243.93
BOOSTER (A(1)(1)
Value based questions
1) ABCD represents a plot of land owned by man.
He divides it into two parts by joining diagonal BD and donate the triangular part BAD to an orphanage .
i) If angle CBD=90°, find the area of the plot donated by him.
ii) What are the values shown by the man here ?
2) Some students started a cleanliness campaign in their school. For distribution among the fellow students, they prepared hand fans by stitching 10 equal sized triangular strips of different types of paper (as shown in the given figure).
The dimensions of equal strips are 25cm, 14cm and 25 cm. They wrote slogans for maintaining cleanliness in shaded areas.
i) Find the area used for writing the slogans.
ii) What value are depicted by the students?
3) The diagram given below shows the triangular side walls of the entrance to a library with quotes by Mahatma Gandhi written on them. The sides of each of the triangular walls are 15m, 11m and 6m respectively.
a) Find the area of each of the triangular wall.
b) What values can be inculcated by the two quotes in the visitors ?
4) A woman inherits a triangular plot of land ABC as shown in the figure.
She contributes to society by donating a triangular piece ADC out of this plot for constructing an old age.
i) Find the area of the plot with her.
ii) What values are shown by the woman?
1) i) 20.98m²(approx) ii) Empathy, concern for orphans
2) i) 840cm² ii) Social responsibility, creative thinking, leadership, cooperation and awareness about maintaining cleanliness.
3) i) 20√2m² ii) Be hardworking, focussed, determined, caring, helpful, considerate and humane
4) i) 114m² ii) Empathy, concern for old people, compassion, helpful, caring and decision making ability.
UNIT TEST - A
MM- 10
(1 Mark each)
1) A triangle ABC in which AB= AC = 4cm and angle A= 90°, has an area of
a) 4cm² b) 16cm² c) 8cm² d) 12cm²
2) The area of a triangle whose sides are 8cm,15 cm and 19 cm is
a) 91√19cm² b) 6√91 cm² c) 19√91cm² d) 8√91cm²
3) Find the area of an equilateral triangle whose perimeter 18 cm. (Take √3= 1.732). (2)
4) Find the area that needs to be added to the area ∆ ADB,
so that it become equal to the area of ∆ ABC (take √3= 1.732). (3)
5) Find the area of ∆ ABC in which AB= 36cm, BC = 48cm and AC= 60cm. Find the length of the shortest altitude. (3)
1c 2b 3) 15.588cm² 4) 19.3cm² 5) 864cm², 28.8cm
SURFACE AREAS AND VOLUMES
CUBE AND CUBOID
1) The total surface area of a cube is 96 cm². The volume of the cube is
a) 27cm³ b) 64cm³ c) 8cm³ d) 512 cm³
2) The number of cubes whose edges measure 3cm, that can be found by melting a cubic block of metal of edge 15cm is
a) 125 b) 45 c) 75 d) 135
3) The difference between the total surface area of a cube of side 4cm and its lateral surface area is
a) 16 cm² b) 20 cm² c) 32 cm² d) 24 cm²
4) The volume of a cube whose diagonal is 2√3 cm is
a) 84 cm³ b) 4 cm³ c) 8√3 cm³ d) 4√3 cm³
5) The number of planks of dimensions (5m x 25cm x 10cm) that can be placed in a pit which is 20 m long, 6m wide and 80cm deep is
a) 764 b) 840 c) 768 d) 960
6) The number of 6m cubes that can be formed from another cuboid measuring 18m x 12m x 9m is
a) 9 b) 10 c) 12 d) 15
7) The length of the longest rod that can be placed in a room 12m long, 9m broad and 8m high is
a) 15m b) 20m c) 18m d) 17m
8) The edge of a cube whose volume is equal to the volume of a cuboid of dimensions 36cm x 75cm x 80cm is
a) 48cm b) 60cm c) 36cm d) 42cm
9) A rectangular pit of dimensions 30m x 15m x 12m is dug and the Earth taken out is disposed of in a carrier which can carry a maximum load of 540m³ of earth. The least number of rounds the carrier had to make to dispose of the earth dug out is
a) 20 b) 20 c) 15 d) 12
10 A granery is in the shape of a cuboid of size 16m x 12m x 9m. If a bag of grain occupies a space of 0.48m³, then the maximum number of bags that can be stored in the granary is
a) 1800 b) 3600 c) 2400 d) 3000
11) When a cuboid of dimensions 30cm x 30cm x 42.6cm is melted and converted into cubes of edge 3cm, then the number of cubes formed is
a) 2840 b) 2130 c) 1420 d) 710
1b 2a 3c 4a 5c 6a 7d 8b 9b 10b 11c
CYLINDER
12) The volume of a right circular cylinder is 2310cm³. If the radius of its base is 7cm, then its height is
a) 7.5cm b) 22.5cm c) 15cm d) 30 cm
13) If a square paper of side 25cm is rolled to form a cylinder, then its curved surface area is
a) 625 cm² b) 500cm² c) 250cm² d) 1000 cm²
14) The curved surface area of a well of diameter 3.5m and depth 10m is
a) 135m² b) 35m² c) 70m² d) 110m²
15) The curved surface area of a cylinder whose circumference of the base is 22m and height is 3m is
a) 66m² b) 132m² c) 33m² d) 99m²
16) If the outer diameter of a pipe 21m long is 1m, then its outer curves surface area is
a) 21m² b) 63m² c) 66m² d) 42m²
17) The cost of cementing the inner curved surface area of a 14m deep well of radius 2m at the rate of Rs 2 per m² is
a) Rs 350 b) Rs 56 c) Rs 122 d) Rs 176
18) The diameter of the base of a cylinder of curved surface area 88 cm² and height 14 cm is
a) 1cm b) 2cm c) 1.5cm d) 2.5 cm
19) The total surface area of a circular cylinder of height 4cm and radius 3cm is
a) 132cm² b) 66cm² c) 198cm² d) 99 cm²
20) If the lateral surface area of a cylinder is 132cm² and its height is 7cm, then its base diameter is
a) 5cm b) 3cm c) 6cm d) 4cm
21) The circumference of the base of a right circular cylinder is 44cm. If its whole surface area of 968 cm², then the sum of its height and radius is
a) 16cm b) 18cm c) 20cm d) 22cm
22) The curved surface area of a right circular cylinder is 4400cm². if the circumference of its base is 110cm, then its height is
a) 36cm b) 38cm c) 40cm d) 42cm
23) A cylindrical piece of maximum volume has to be cut out of an iron cube of edge 4 cm. Then the maximum volume of the iron cylinder is
a) 32πcm³ b) 24πcm³ c) 16πcm³ d) 28πcm³
24) If each bag containing rice occupies 2.1m³ of space, then the number of full bags which can be emptied into a drum of radius 4.2m and height 3.5m is
a) 69 b) 46 c) 92 d) 138
25) If the radius of the base of a right circular cylinder is halved , keeping the same height, then the ratio of the volume of the reduced cylinder to the volume of the original cylinder is
a) 1:4 b) 4:1 c) 1:2 d) 2:1
26) A cylindrical vessel of radius 16cm contains water to a depth of 30cm. if a spherical ball of brass is dropped into it and the water rises by 9cm, then the radius of the ball is
a) 12cm b) 15cm c) 8cm d) 18cm
27) The radii of 2 cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volume is
a) 20 : 27 b) 20:37 c) 17:27 d) 10:17
12c 13a 14d 15a 16c 17a 18b 19a 20c 21d 22c 23c 24c 25a 26a 27a
SPHERE
The volume of the sphere of diameter 42 3834,30038 the surface area of a radius 3.5 e77 1504 150 4 120 the volume of a sphere is numerical equal to surface area than its diameter is 6 unit 3 unit 1 units 2 minutes a cube of side 4 contains a square touching its side find the approximate volume of the gaping 3330 the ratio of the radiator spear is volume by the ratio 64 is to 27 is 16:98 is 237 4:3 given the surface area of a spherical short 26 diameter is 12 14 16 18 it's Tiara for radius 3 is melternate the casting to right circular cone is a height to in the radius of the base of the cone is 27369 spherical balloon grows to eyes AC radius of inflated in the ratio of the volume of the metal values in the original age is to 14:1621 5:1 total sarface theories 1848 then the director of 22.6 28 24 that
CONE
The total surface area to cone of DS and slant height is the total surface area of a radiation slant height 10 374 598561 282.5 the volume of the phone is 1570 if it is 15 high then its base area is 415 413 300 14540 slant height of a cone of this radius 7 is 25 then its height is 32 24 18 36 the diameter of the base of the cone of the height 15 the volume 77 1421 10.5 aconical 10 to 20 1 high and the diameter the basis for a 10 menslips in 8 then the average number of cubic affairs page per man is 448848 chronicle pendle 240 years 100 is made clothes which is 100 wise than the length of the cloth used to make the pandal is 625 676 624 if the ratio the Reddy of the base up to con is 3:21 in the ratio of the height is 1:3 then the ratio of the volume is 221 1:33 is 21
Mixed
The curved surface area of a cylinder and a cone is equals to their base radius is same in the ratio of the slunt had the cone to the height of the cylinder is 2:31 is 21 1
No comments:
Post a Comment