Practicing Success
A cone and a hemisphere have equal bases and equal volumes. Identify the ratio of their heights. |
1 : 3 1 : 2 2 : 1 3 : 1 |
2 : 1 |
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 |