Question

A sphere a cylinder and a cone have the same radius and same height find the ratio of their volumes

Answer 1

The ratio of volume of sphere , cylinder and cone would be  2:3:1

1) The Volume of a sphere is 4/3 πr³

2) The volume of a cylinder is πr²h

3) The volume of a cone is 1/3 πr²h

4) The ratio of their volumes would be

4/3 r : h : 1/3 h

5) Given is that the height and radius of all three are equal :

height of sphere = diameter of sphere  = 2* radius

Height of cone  = height of cylinder  = 2* radius

h = 2r

6) Substituting in the above ratio

4/3 r : 2r : 1/3 * 2r

4/3 : 2 : 2/3 =

4 : 6 : 2

= 2:3:1

7) The ratio of volume of sphere , cylinder and cone would be  2:3:1

Answer 2

2 :3:1

cgíjgdsssgyuujhgfde