Question

The ratio between curved surface area and total surface area of a right circular cylinder is 1:3 evaluate ratio between height and radius of cylinder

Answer 1

Answer:

2:1

Step-by-step explanation:

given, csa : tsa of cylinder = 1:3

         2πrh / 2πr(r+h)  = 1/3

            h/(r+h) = 1/3

 by cross multiplication, we get

            3h = r+h

            3h-h = r

therefore r=2h

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

    height of cylinder : radius of cylinder = 2:1

Answer 2

answer:

2:1

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Step-by-step explanation:

given, csa : tsa of cylinder = 1:3

        2πrh / 2πr(r+h)  = 1/3

           h/(r+h) = 1/3

 by cross multiplication, we get

           3h = r+h

           3h-h = r

therefore r=2h

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

   height of cylinder : radius of cylinder = 2:1