Math, asked by snehvashi321, 1 year ago

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

7878: Should I report the following answer?

7878: Else your 18 points will be wasted

Answers

Answered by prrameethadoss

1084

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

prrameethadoss: i dont know how to put the symbol of power

7878: Thats not the error my dear

7878: See , in the last fourth line you wrote

7878: πr2h

7878: and in the next step how can πr2h become πr3 ?

7878: thats the mistake !

7878: I hope u get it.

7878: if u got it then please reply.

QwertyZoom: It's correct, he just converted the height to r

QwertyZoom: You should write that step down, seems like it's confusing people.

Answered by CUTEBARBIE

912

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

CUTEBARBIE: plz mark brainlest

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