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The radius of a right circular cylinder is decreased by 20% and its height is increased by 25%. What is the absolute value of the percent change in the volume of the cylinder?

 Jul 3, 2018
 #1
avatar+4609 
+1

Decreased by 20%=100%-20%=80%

Increased by 25%, 25/100*80=20, so 80+20=100%

Thus, there is no change, .\(0\%\)

smileysmiley

 Jul 3, 2018
 #2
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+1

V= Pi x r^2 x h

V =Pi x 1^2 x 1

V =Pi

 

V =Pi x  0.8^2 x 1.25

V =0.8Pi

1 - [0.8Pi/Pi] = 20% - absolute decrease in volume.

 Jul 3, 2018
edited by Guest  Jul 3, 2018

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