SOLUTION: the radius of 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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Question 889127: the radius of cylinder is increased by 15% and its height is decreased by 20%. Find the percentage change in the volume of the cylinder.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
V%5B1%5D=pi%2AR%5E2%2AH
V%5B2%5D=pi%2A%281.15R%29%5E2%2A%280.8H%29
V%5B2%5D=pi%2AR%5E2%2AH%2A%281.15%5E2%29%280.8%29
V%5B2%5D=1.058%2Api%2AR%5E2%2AH
%28V%5B2%5D-V%5B1%5D%29%2FV%5B1%5D=%281.058-1%29%2F1%2A100=5.8
5.8% increase in volume