Question

Australia under a cone and hemisphere have equal base and same height what is the ratio of their volume​

Answer 1

$\Huge{\underline{\underline{\mathfrak{Correct \: Question :}}}}}$

A cylinder, a cone and a hemisphere are of the same base and height. Find the ratio of their volumes.

$\Huge{\fbox{\underline{\mathfrak{ Solution :-}}}}}$

Given :-

The cone, hemisphere and cylinder have equal base and same height

So, the height will become radius [r]

Then,

Volume of cone : Volume of hemisphere : Volume of cylinder

$\sf = \frac{1}{3} \pi r^{2} h : \frac{2}{3} \pi r^{3} : \pi r^{2}h\\\\= \frac{1}{3} \pi r^{3} : \frac{2}{3} \pi r^{3} : \pi r^{3}\\\\= \frac{1}{3} : \frac{2}{3} : 1\\\\= 1:2:3$