Question

A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being $3.5cm$ and the total height of solid is $9.5cm$. Find the volume of the solid. (Use $\pi =22/7$)

Answer 1

Height of cone part $=$ total height $-$ radius of the hemisphere

Height of cone $=9.5-3.5=6cm$

Volume of the solid $=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^3$

$V=\frac{1}{3}\pi \times {3.5}^2\times 6+\frac{2}{3}\pi \times {3.5}^3$

$V=166.7c{m}^3$