A conical tent is to accommodate 11 persons. Each persons must have 4 sq. metres of the space on the ground and 20 cubic metres of air to breath. Find the height of the cone.

Explanation

since each persons must have 4 sq. metres of the space on the ground and 20 cubic metres of air to breath

so total area of base`=11xx4=44m^2`

`pi(r^2)h=44`

`r^2=14`.....(1)

here total volume of tent`=11xx20=220m^3`

`(1/3)(22/7)(r^2)h=220`

`(r^2)h=210`

`14xxh=210`

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