Question

the ratio between the curved surface area and total surface of a right circular cyclinder is 1:2.Find the ratio between the height and radius

Answer 1

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

Answer 2

Answer:

r = h

Step-by-step explanation:

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