A cone and a cyclinder are having the same base find the ratio of their height of their volumes are equal
Answers
Answered by
0
Answer:
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Step-by-step explanation:
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Answered by
2
Answer:
3:1
Step-by-step explanation:
Let the radius of the common base be r.
Let h
1
and h
2
be the heights of the cone and cylinder respectively
Then, volume of the cone =
3
1
πr
2
h
1
Volume of the cylinder πr
2
h
2
It is given that the cone and the cylinder are of the same volume.
∴
3
1
πr
2
h
1
=πr
2
h
2
⇒
3
1
h
1
=h
2
⇒
h
2
h
1
=
1
3
⇒h
1
:h
2
=3:1
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