Question

a cone a hemisphere and a cylinder stand on a equal base have same height find ratio of volume

Answer 1

Volume of cone = (1/3)πr h
Volume of hemisphere = (2/3)πr
Volume of cylinder = πr h
Given that cone, hemisphere and cylinder have equal base and same height
That is r = h
Volume of cone : Volume of hemisphere : Volume of cylinder = (1/3)πr h : (2/3)πr : πr h
= (1/3)πr : (2/3)πr : πr
= (1/3) : (2/3) : 1
= 1: 2: 3

Answer 2

Hey,

As their base are same,

Let the radius of the base and height is R,

So,
The cone’s volume: hemisphere’s Volume : Volume of cylinder.
= 1/3 x π x r^2 x r : 2/3 x π x r^2 x r : π x  r^2 x r

=> 1/3 x 22/7 x r^3 : 2/3 x 22/7 x r^3 : 22/7 x r^3  
=> 【1 : 2 : 3】 ANSWER....

HOPE IT HELPS:-))