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.

Answer 1

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.