On the same circular base and of the same height a cone, a hemisphere and a cylinder are formed. Find the ratio of their volumes of cone, hemisphere and cylinder.
plz do it fast
Answers
Answered by
5
this is in the ninth class ncert refer to it...guys who need this answer see the comments for further explanation..
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
hope it helps...
and I have even explained this in comments..
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
hope it helps...
and I have even explained this in comments..
kin20:
telling need to go step by step
Answered by
1
Answer:
1:2:3
Step-by-step explanation:
- Volume of cone =1/3
Attachments:
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