SOLUTION: the radius of base of a right circular cylinder is increased by 25% and its height is decreased by 10%.Find the percentage increase of volume

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Question 572059: the radius of base of a right circular cylinder is increased by 25% and its height is decreased by 10%.Find the percentage increase of volume
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the radius of base of a right circular cylinder is increased by 25% and its height is decreased by 10%.
Find the percentage increase of volume
:
%28%28pi%2A%281.25r%29%5E2%2A.9h%29%29%2F%28%28pi%2Ar%5E2%2Ah%29%29
Cancel pi and h; square 1.25;
%28%28%281.25r%29%5E2%2A.9%29%29%2F%28%28r%5E2%29%29 = %28%281.5625%2Ar%5E2%2A.9%29%29%2F%28%28r%5E2%29%29
cancel r^2
1.5625*.9 = 1.40625: volume increased by 40.625%