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Question
There are 25 persons in a tent which is conical in shape. Every person needs an area of 4 sq.m. of the ground inside the tent. If height of the tent is 18 m, find the volume of the tent.
Solution
Let the radius of the base of the cone be r m.
Height of the conical tent, h = 18 m
Surface area of the base of the tent = number of people in the tent × area required for each person
∴ πr2 = 25 × 4 = 100 sq. m ...(1)
Volume of the tent = `1/3 xx πr^2h`
= `1/3 xx 100 xx 18` ...[From (1)]
= 600 m3
Thus, the volume of the tent is 600 m3.
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