# 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 18m, find the volume of the tent.

Given that, the tent is conical in shape.

If 1 person occupies area inside the tent = 4 m2

Then 25 people will occupy area inside the tent = 25 × 4 = 100 m2

Base area of the cone = 100 m2 …(i)

Also, base area of the cone is given by,

Base area of the cone = πr2

100 = πr2 [from (i)]

r2 = 31.82 …(ii)

r = 5.64

We have, radius of the base of the cone (r) = 5.64 m

Height of the conical tent (h) = 18 m

Now we need to find volume of this conical tent. The formula is:

Volume = πr2h/3

Substituting values, we get

Volume = (3.14 × 31.82 × 18)/3 [from (ii)]

Volume = 599.5

Volume ≈ 600 m3

Thus, we can say volume of the conical tent is approximately 600 m3.

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