2) A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of cylinder is 24m. The height of the cylindrical portion is 11m while the vertex of the cone is 16 m above the ground. Find the area of Canvas required for the tent. 1320m²
3) A cone tent is cylindrical to a height of 3 metres and conical above it. If its diameter is 105m and the slant height of the conical portion is 53, calculate the length of the canvas 5m wide to make the required tent. 1947m
4) A rocket in the form of a circular cylinder closed at the lower end with a cone of the same radius attached to the top. The cylinder is of radius 2.5m and height 21 meter and the cone has the slant height of 8m. Calculate the total surface area and the volume of the rocket. 412.5m²
5) Height of a solid cylinder is 10cm and diameter 8cm. Two equal conical hole have been made from its both ends. If the diameter of the holes is 6 cm and height 4cm, find
A) volume of the cylinder. 160π
B) volume of one conical hole. 12π
C) volume of the remaining solid. 136πcm³
6) A tent height 77dm is in the form of right circular cylinder of diameter 36m and height 44dm surmounted by a right circular cone Find the cost of the canvas at ₹3.50 per m², (π=22/7). ₹5365.80
7) The height of a solid cylinder is 15cm and the diameter of its base 7 cm. Two equal conical holes each of radius 3 cm, and height 4cm are cut off. Find the volume of the remaining solid. 502.1cm³
8) A tent of height 77dm is in the form of a right circular cylinder of a diameter 36m and height 44dm surmounted by a right circular cone. Find the cost of Canvas at ₹ 3.50 per m². ₹5365.80
9) A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of the base of the cylinder or the cone is 24m. The height of the cylinder is 11m. If the vertex of the cone is 16 m above the ground, find the area of the canvas required for making the tent. 1320m²
10) A Circus tent has cylindrical shape surmounted by a conical roof. The radius of the cylindrical based is 20m. The height of the cylindrical and conical portions are 4.2m and 2.1m respectively. Find the volume of the tent. 6160m³
11) A petrol tank is a cylinder of base diameter 21m and length 18cm fitted with conical ends each of axis length 9cm. Determine the capacity of the tank. 8316cm³
12) A tent of height 8.25m is in the form of right circular with diameter of base 30m and height 5.5m, surmounted by a right circular cone of the same base. Find the cost of the canvas of the tent at the rate of ₹45 per m². ₹55687.50
13) A conical hole is drilled in a circular cylinder of height 12cm and base radius 5cm. The height and the base radius of the cone are also the same. Find the whole surface and the volume of the remaining cylinder. 200π cm³, 210π cm²
14) An iron pole consisting of a cylindrical portion 110 cm high and a base diameter 12 cm is surmounted by a cone 9cm high. Find the mass of the pole, given that 1cm³ of iron has 8 gram mass approximately (π= 355/113). 102.24 kg
15) A tent is in the form of a cylinder of diameter 20m and height 2.5m surmounted by a cone of equal base and height 7.5m. Find the capacity of the tent and the cost of the Canvas at ₹ 100 per m². 500π m³, ₹55000
16) the interior of a building is in the form of a cylinder of base radius 12m and height 3.5m, surmounted by a cone of equal base and slant height 12.5m. Find the internal curved surface area and the capacity of the building. 735.43 m², 2112 m³
17) A right angled triangle with sides 3cm and 4cm is revolved around its hypotenuse. Find the volume of the double cone thus generated. 1056/35 cm³
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