Question

A conical tent can accommodate 77persons.each person must have 16m3 of air to breathe. if the radius of the tent is 7m then the height of the tent will be

Answer 1

Hi friend,

Radius of conical tent = 7 m

Volume of air of one person for breathe= 16 m³

Volume of the conical tent = 77 × volume of the air of each person = 77 × 16 = 1232 m³.

We know that volume of the cone is 1/3πR²h

Therefore,

1232 = 1/3 πR²h

1232 = 1/3 × 22/7 × 7×7 × H

1232 = 154/3 × H

H = 1232×3/154

H = 3696/154

H = 24 m


Hence,

The Height of the tent = 24 m


HOPE IT WILL HELP YOU..... :-)