Question

If the ratio of the total surface area of a cylinder to
the curved surface area of the cylinder is 2:1. find
the ratio of its radius to its height.​

Answer 1

Answer:

given,

total surface area of cylinder = 2:1

2πrh / 2πr(r+h) = 2/1

h/(r+h) = 2/1

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