# A cylinder, a cone and a hemisphere are of the same base and height. Find the ratio of their volumes

2
by snehvashi321
Should I report the following answer?
Else your 18 points will be  wasted
as you wish....

2016-02-18T15:42:10+05:30
Volume of cone = (1/3)πr2h
Volume of hemisphere = (2/3)πr3
Volume of cylinder = πr2h
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)πr2h :  (2/3)πr3 : πr2h
= (1/3)πr3 :  (2/3)πr3 : πr3
= (1/3) : (2/3) : 1
= 1: 2: 3
thats the mistake !
I hope u get it.
It's correct, he just converted the height to r
You should write that step down, seems like it's confusing people.
2016-02-18T16:18:25+05:30

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Volume of cone = (1/3)πr2h
Volume of hemisphere = (2/3)πr3
Volume of cylinder = πr2h
Given :-the cone, hemisphere and cylinder have equal base and same height
so, the height will become radius [r]
then,
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
plz mark brainlest