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.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Surface Area of Right Circular Cylinder52 mins
Surface Area of Right Circular Cylinder49 mins
Surface Area of Cube and Cuboid49 mins
Surface Area and Volume of Spheres40 mins
Quiz | Surface Area & Volumes49 mins
Surface Area and Volume of Right Circular Cylinders42 mins
Surface Area and Volume of Right Circular Cone37 mins
Quiz | Area and Parallelogram46 mins
Quiz | Area of Parallelogram and Triangles43 mins
Champ Quiz | Area of Triangle53 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses