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Answer:
476
Step-by-step explanation:
let radius of cylinder = r
height of cylinder = h
then, Volume of cylinder = π r^2h
According to question,
Radius of cylinder increases by 20%
New radius of cylinder = r + 20r/100
= 120r / 100
= 6r / 5
Height of cylinder decreases by 20%
New height of Cylinder = h - 20h / 100
= 80h/ 100
= 4h / 5
Volume of new Cylinder =
π (6r / 5)^2 * 4h / 5
π * 36r^2 / 5 * 4h /5
π * 144 r^2 h / 25
144 π r^2 h / 25
Volume of new cylinder engine = 144π r^2h / 25
Change in volume =
144 πr^h / 25 - π r^2 h
= 144πr^2h - 25 π r^2 h / 25
= 119 πr^2h / 25
% change in volume =
119 π r^2 h /25 / π r^2 h * 100
119 / 25 * 100
119 * 4 =
476 %