Question

A hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl.

Answer 1

If the circle has radius r cm then $2\pi r=198$
so $r=\frac{99}{\pi }$
The capacity is $\frac{2}{3}\pi r^3$

=$\frac{2}{3}\pi \times (\frac{99}{\pi }{)}^3$

=$\frac{2}{3}\times (\frac{99}{\pi }{)}^2$

=$65541.229c{m}^3$