Question

if the radius of a cylinder is increased by 10 percent by how much percent it's height would decrease if the curved surface area of cylinder remains the same.​

Answer 1

Let the radius be r,

Then old csa=2 pi r h

New csa = 2 pi 11/10 r h

Thus, in order to make the new csa the same as the old csa, the value of h should be 10 /11 h or its height should be decreased by about 9 %