Question

the ratio between curbed surface area and total surface area of a right circular cylinder is 1:2 find the ratio between the height and radius of the cylinder ​

Answer 1

Answer:given, csa : tsa of cylinder = 1:2

         2πrh / 2πr(r+h)  = 1/2

            h/(r+h) = 1/2

by cross multiplication, we get

            2h = r+h

            2h-h = r

therefore h=r

by calculating, we get height is equal to radius. then ratio of their height and radius is      

    height of cylinder : radius of cylinder = 1:1

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