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

Explanation

Given:
Total number of persons to acoomodate `11`
Area of base `=11xx4=44m^2`
`pir^2=44m^2`
Volume of the cone`=11xx20=220m^3`
`1/3pir^2h=220m^3`
`therefore(1/3pir^2h)/(pir^2)=220/44`
`h/3=5`
`h=15m`
Hence, the height of the cone is `15m`.