The radius and height of a right circular cylinder are increased by 10% and 20% respectively. Find the percentage increase in its volume.
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Answer:
Volume =πr
2
h
new radius =r+
100
20
r
=
6
5
r
So
=h+
100
20
h=
5
6
h
Volume =π(
5
6r
)
2
(
5
6
h)
=
125
216
πr
2
h
∴ Increase in
Volume =
125
216
πr
2
h
=72.80%
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