Question

The base and height of a cone and a cylinder are equal. Then the ratio of their volume

Answer 1

Answer:

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is 1 : 2 : 3.

Answer 2

Answer:

Let h and r be the height and radius of the cone respectively ,

Given that the base and height of a cone and cylinder are equal to the radius of the spheres .

Therefore ,

Radius of a cylinder = r

height of a cylinder = h

Now ,

volume of cone (V¹) = 1/3 π r²h .... (1)

volume of cylinder (V²) = π r²h .... (2)

Dividing equation (1) by (2) we have ,

V¹/V² = ⅓ π r²h ÷ π r²h

V¹/V² = 1/3

Hence , the ratio of their volume is 1:3