Question

The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. Prove that its height and radius are equal.

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Answer 1

Answer:

Given that,

CSA/TSA = 1:2

Let the base radius and height be r and h respectively.

So, CSA = 2πrh

& TSA = 2πr(r + h)

So, ratio:

(2πrh)/[2πr(r + h)] = 1/2

=> h/(r + h) = 1/2

=> 2h = r + h

=> 2h - h = r

=> h = r.

H.P.

Answer 2

Answer:

Height = Radius

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