a cylinder, a cone and a hemisphere here have a same base and same height. find the ratio of their volume
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Answered by
13
Volume of cone = (1/3)πr^2h
Volume of hemisphere = (2/3)πr^3
Volume of cylinder = πr^2h
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^2h : (2/3)πr^3 : πr^2h
= (1/3)πr^3 : (2/3)πr^3 : πr^3
= (1/3) : (2/3) : 1 = 1: 2: 3
Volume of hemisphere = (2/3)πr^3
Volume of cylinder = πr^2h
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^2h : (2/3)πr^3 : πr^2h
= (1/3)πr^3 : (2/3)πr^3 : πr^3
= (1/3) : (2/3) : 1 = 1: 2: 3
Answered by
6
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
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
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