Question

the lateral surface area of a cylinder gets reduced by 75​π cm 2 if its diameter is reducedby 5 cm , while keeping the height same. it increases by 100π cm 2 ​ if height is increased by 5 cm , while keeping the diameter same.find the diameter and height of the cylinder.

Answer 1

Let the diameter be D.
Let the height be H.
Lateral surface area=$\pi$DH
As said in question diameter is reduced by 5cm.So,
$\pi$DH-75=$\pi$(D-5)H
-5$\pi$H=-75
H=15/$\pi$cm
As said in question height is increased by 5 cm.So,
$\pi$DH+100=$\pi$D(H+5)
5$\pi$D=100
D=20$\pi$
Diameter of cylinder=20/$\pi$cm=6.36cm
Height of cylinder=15/$\pi$cm=4.77cm

Answer 2

Answer:

diameter 20 cm

height- 15 cm pls mark me brainliest