26-04-2016
Mathematics

Answered

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.

Verified Answer :

06-05-2016

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 × \(\frac{58 \pi }{1000 \pi }\) = 5.8% increase

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