Question

A toy is in the form of a cone mounted on a hemisphere of common base radius $7$ cm. The total height of toy is $30$ cm. Find the total volume of the toy. (use $\pi =\frac{22}{7}$)

Answer 1

Volume of the toy = Volume of hemisphere + Volume of cone

Volume of hemisphere = $\frac{2}{3}\pi r^3$

= $\frac{2}{3}\times \frac{22}{7}\times (7{)}^3$ = $718.66$ cm${}^3$

Volume of cone = $\frac{1}{3}\pi r^{2}h$ = $\frac{1}{3}\times \frac{22}{7}\times (7{)}^2\times 30$ = $1540$ cm${}^3$

Therefore, volume of toy = $718.66+1540=2258.66$ cm${}^3$.