if the radius of the cylinder is increased by 10 percent and its height decreased by 10 percent then find the percentage increase or decrease in its volume
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"The height of a cylinder is increased by 10% and the radius of its base is decreased by 10%. What is the percentage increase or decrease in its curved surface area?"
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0
Answer:
Let the original radius be r and height be h.
New radius = 1.1r
New height = 0.95h
Volume
=
π
r
2
h
New volume
=
π
×
(
1.1
r
)
2
×
0.95
h
=
1.1495
π
r
2
h
⇒
14.95
%
increase in volume
Step-by-step explanation:
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