Question

Here is conical tent in which 10 persons can stand. Each person need 6m




square to stand and 60m cube air to breath. What is the height of tent?

Answer 1

The tent is nothing but a cone.

10 persons each need 6 m² to stand.

So the area of the base of cone is 6 m²*10

==> 60 m²

The base area is πr²

==> π r² = 60 m²

They  also each need 60 m³ of volume of air.

Total volume 60 m³*10 = 600 m³

Volume = 1/3 πr²h

==> 1/3 * 60 m² * h

==> 20 m² * h

Volume = 600 m³

20 m² * h = 600 m³

==> h = 600 m³ / 20 m²

==> h = 30 m

The height of tent is 30m

Hope it helps

_________________________________________________