A tent is in the form of a cylinder of diameter 20 m and height 2.5 m, surmounted by a cone of equal base and height 7.5 m. find the capacity of the tent and the cost of the canvas at Rs. 100 per square metre.
Given: height of Cylinder (h) = 2 m
Diameter of hemisphere (d) = 2 m
Radius (r) = 1 m
Volume of a cylinder = πr2h
V1 = π(1)2(2) cm …..(1)
Volume of hemisphere =
Since at ends of Cylinder hemisphere are attached
Volume of hemisphere, V2 = 2 × (2/3) πr3
= 2 × 
π(1)3 cm …..(2)
Volume of boiler = eq. (1) + eq. (2)
V = V1 + V2
⇒ V = 2 × 
+ π(1)3(2)
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