Question

The ratio between the curved surface area and the total surface area of a right circular cylinder is

1 : 3. Find the ratio between the height and radius of the cylinder.​

Answer 1

Answer:

1/2

Step-by-step explanation:

curved surface area of cylinder is 2πrh

total surface area of cylinder is 2πr(r+h)

given that,

ratio b/w the curved surface area & the total surface area of a right circular cylinder is 1:3

= curved surface area of cylinder/ total surface area of cylinder

1/3 =2πrh / 2πr( r+ h)

2πr gets canceled in numerator & denominator

1/3= h/(r+h)

now do cross multiplication

3h= r+h

3h-h=r

2h = r

h/r=1/2