Question

The circumference of the base of a $12m$ high conical tent is $66m.$ Find the volume of the air contained in it.

Answer 1

Circumference of base $=66$ m

Height of tent $=12$ m

Circumference of circle $=2\pi r$

$\begin{array}{c}66=2\times \frac{22}{7}\times r\\ r=\frac{66\times 7}{2\times 22}\\ \therefore r=10.5m\end{array}$

Volume of come $=\frac{1}{3}\pi r^{2}h$

$\begin{array}{c}=\frac{1}{3}\times \frac{22}{7}\times 10.5\times 10.5\times 12\\ =1386m^3\end{array}$