There are two right circular cones of equal height. The radius of base of one cone is half
of the radius of the other. Find the ratio of their volume.
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Answer:
Let r
1
and r
2
be the radii of two cones and V
1
and V
2
be their volumes. Let h be the height of the two cones . Then,
V
1
=
3
1
πr
1
2
h and V
2
=
3
1
πr
2
2
h
Therefore,
V
2
V
1
=
r
2
2
r
1
2
=
25
9
Hence, the ratio of the volumes of two cones is 9 : 25.
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