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

Radius of the base of the tent (r) = 20 m

Height of the cylindrical part (h₁) = 4.2 m

Height of the conical part (h₂) = 2.1 m

Total volume of the tent = $\pi r^2{h}_1+\frac{1}{3}\pi r^2{h}_2=\pi r^2(h_1+\frac{1}{3}{h}_2)$

$=\frac{22}{7}\times 20\times 20(4.2+\frac{1}{3}\times 2.1)$

$=\frac{8800}{7}\times (4.2+0.7)$

$=\frac{8800}{7}\times \left(4.9\right)=6160m^3$