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?
Decreased by 20%=100%-20%=80%
Increased by 25%, 25/100*80=20, so 80+20=100%
Thus, there is no change, .\(0\%\)
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.