Question

The circumference of base of a conical tent is $9m$ and its height is $9m$. Find the volume of air inside it.

Answer 1

Let the radius and height of conical tent be 'r' and 'h'.

Circumference of base of conical tent $=2\pi r$ $=9m$

$\Rightarrow$ r $=\frac{9}{2\pi }$ m

$\therefore$ Volume of air inside conical tent $=\frac{\pi r^{2}h}{3}$

$=\frac{\pi \times 81\times 9}{3\times 4{\pi }^2}$ $=19.3373m^3$