Question

How many times do the surface area of a cylinder increase if its radius remains same and
height is doubled​

Answer 1

Step-by-step explanation:

1. surface area of cylinder is 2πrh radius= r h~

Answer 2

Answer:

Case1:

let the radius be r

and the height be h

Therefore , the area of cyclinder is 2πr(r+h) = 2πr^2 + 2πrh = Area1

Case 2: Radius = r

Height = 2h

Therefore , Area = 2πr(r+ 2h )

= 2πr^2 + 4πrh = Area 2

Area2 ÷ Area 1

= 2πr^2 + 4πrh ÷ 2πr^2 + 2πrh

= 2

Therefore , the area will increase 2 times when the radius remains same and height is doubled .