Question

If the total surface area of a solid hemisphere is $462{cm}^2$, find its volume. (Take $\pi =22/7$)

Answer 1

Total Surface area of hemisphere=Curved surface area +Base area =$2\pi r^2+\pi r^2=3\pi r^2$

Given $3\pi r^2=462$

$\pi r^2=154\Rightarrow r=7cm$

Volume of hemi sphere =$\frac{2}{3}\pi r^3=718.67c{m}^3$