A cone and a hemisphere have equal bases and equal volumes. Identify…

Let the radius of both cone and hemisphere be ‘r’ cm.

Let ‘h’ be the height of the cone. It is given that,

Volume of cone = volume of a hemisphere

$⇒\frac{1}{3}πr^2h=\frac{2}{3}πr^3$

⇒ h = 2r

h : r = 2 : 1