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

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1:1

2:1

3:1

1:2

answer is A.

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Detailed Solution

Let r be the radius
Let h be the height
CSA of a cylinder = 2πrh
TSA of a cylinder = 2πrh+2π

r^{2}

According to the question,

\frac{CSA}{TSA} = \frac{1}{2}

Or,

\frac{2 πr h}{2 πr h + 2 π r^{2}} = \frac{1}{2}

Or,

\frac{h}{h + r} = \frac{1}{2}

Or, 2h = h+r
Or, h = r
Hence, h:r = 1:1

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