Question

The ratio between the curved surface area and total surface area of a right circular cylinder is 2:3.find the ratio between height and radius of a cylinder

Answer 1

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Answer 2

CSA = 2πrh

TSA = 2πr(r+h)

Given that CSA:TSA = 2:3

2πr(r+h)

2πrh = 3/2

r+hh = 3/2

3h=2(r+h)=2r+2h

3h−2h=2r

h=2r

rh =2

h:r=2:1