Question

pls help me in solving this answer​

Answer 1

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 %