Q. 94.2( 17 Votes )

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.

Answer :

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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