Question

A cone ,hemisphere and a cylinder stand on equal base and have same height .then ratio of their volume is? Show it.

Answer 1

Volume of cone = (1/3)πr²h

Volume of hemisphere = (2/3)πr³

Volume of cylinder = πr²h

Given:
cone, hemisphere and cylinder have equal base and same height
So,
 r = h
Volume of cone : Volume of hemisphere : Volume of cylinder
= (1/3)πr²h :  (2/3)πr³ : πr²h
= (1/3)πr³ :  (2/3)πr³ : πr³
= (1/3) : (2/3) : 1
= 1: 2: 3

Answer 2

Hola!!

Here's your answer:

Given:
Cone, hemisphere and cylinder have equal height and radius
Therefore r = h

To find:
Ratio of volume of cone, cylinder and hemisphere

Solution:

Volume of cone : volume of cylinder : volume of hemisphere

1/3πr^2h : πr^2h : 2/3πr^2h

1/3πr^2×r : πr^2×r : 2/3πr^2×r ( putting r in the place of h because r = h)

1/3πr^3 : πr^3 : 2/3πr^3

1/3 : 1 : 2/3 ( πr^3 gets cancelled)

1/3 ×3 : 1 ×3 : 2/3 ×3 ( as ratio cannot be in fractions it is necessary to multiply by 3)

1 : 3 : 2

hope this helps ☺️