a cylinder , a cone and a hemisphere of equal base have the same height. what is their ratio in their volumes ?
Let r and h be the radius of base and height of the cylinder, cone and hemisphere.
We know that, Height of hemisphere = Radius of the hemisphere
∴ h = r
Volume of cylinder = πr2h = πr2 × r = πr3
Volume of cone =
Volume of hemisphere =
Volume of cylinder : Volume of cone : Volume of hemisphere
Thus, the ratio of their volumes is 3 : 1 : 2.