Question

a cone, a hemisphere and a cylinder stand on equal bases and have the same height. Find the ratio of their volumes​

Answer 1

Step-by-step explanation:

Given,

The radius of both the cylinder and the hemisphere is the same as they lie on the same base..

So,

The radius of hemisphere=The radius of the cylinder

The Height/Radius of Hemisphere=The Height of the cylinder

We know that,

Volume of Hemisphere= 2/3πr3

Volume of Cylinder= πr2h

According to the Question,

Volume of Hemisphere: Volume of Cylinder

2/3πr3:πr2h

2/3×r×r×r : ×r×r×h

2/3×r : h

2/3×h : h (Height and radiusof Hemisphere is same)

2/3 : 1

2:3 is the required ratio

Answer 2

Answer:

2:3 is the answer of this question