In a cylinder, radius is doubled and height is halved, curved surface area will be

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Halved

Doubled

Same

Four times

answer is C.

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Detailed Solution

Given the radius of cylinder is doubled and height is halved.
Let us assume r be the radius of the cylinder and h be the height of the cylinder.
The curved surface area of cylinder is

2 πrh

.
If the radius is doubled and height is halved.

\Rightarrow R = 2 r, H = \frac{h}{2}

So, after substituting the value of all the dimensions in the formula we get,

\Rightarrow 2 π \times (2 r) \times (\frac{h}{2})

\Rightarrow 2 πrh

Therefore, the curved surface area of the cylinder will be the same.
Hence option (3) is correct.

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