Question

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

Answer 1

Answer:

Step-by-step explanation:

hey buddy,

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

hope it helps!!!

Answer 2

Answer:

1:1

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 = radius. Then ratio of height and radius is      

Height of cylinder : Radius of cylinder = 1:1