If a cones of hemisphere of cylinder has samebaseof radius and same hieght prove that the volume are in ratio 1:2:3
Answers
Answered by
3
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
Answered by
0
Answer:
Volume of cone=1/3×πr square h
Volume of cylinder=πr square h
Volume of hemisphere=2\3πr cube
Add all of them
1/3πr square h +πr square h+2/3πr cube
All πs will be cancelled denominator 3 will cancelled then it is in 1:2:3 ratio
Hope it helps you
Similar questions