Question

A circus tent has cylindrical shape surmounted by a conical roof. The radius of the cylindrical base is 20 m. The heights of the cylindrical and conical portions are 4.2 m and 2.1 m respectively. Find the volume of the tent.

Answer 1

Given that:

Radius of the cylindrical base r= 20 m

Height of the cylindrical portion h₂ = 4.2 m

Height of the conical portion h₂ = 2.1 m

The volume of the cylinder is given by the following formula

`V_1=pir^2h_1`

`=22/7xx20^2xx4.2`

The volume of the conical portion is

`V_2=1/3pir^2h_2`

`=1/3xx22/7xx20^2xx2.1`

= 880 m³

Therefore, the total volume of the circus tent is

V = V₁ + V₂

= 5280 + 880

= 6160 m³

Hence, the volume of the circus tent is V = 6160 m³