The radius of a cylinder is increased by 15% and its height is decreased by 20%. Find the percentage change in the volume of the cylinder.

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asked Dec 21, 2017 156k views

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Redaa · Answer 1 · 2017-12-27T00:11:24+0000

first cylinder(V1) =
$\pi$ r²h

insert 10 as r&h
⇒V1 = 1000
$\pi$

second cylinder(V2)=
$\pi$ ×11.5² × 8 = 1058
$\pi$

V2-V1 = 58
$\pi$

100 ×
$(58 \pi )/(1000 \pi )$ = 5.8% increase

The radius of a cylinder is increased by 15% and its height is decreased by 20%. Find the percentage change in the volume of the cylinder.

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