MCQ
In a cylinder, if radius is doubled and height is halved, curved surface area will be:
  • A
    Halved.
  • B
    Doubled.
  • Same.
  • D
    Four times.

Answer

Correct option: C.
Same.

curved surface area of a cylinder of radius $'r'$ and heightn $'h'$ is given by $\text{A}=2\pi\text{rh}$
Now, if $r' = 2r$ and $\text{h}'=\frac{\text{h}}{2}$
Then $\text{A}'=2\pi\times(2\text{r})\times\frac{\text{h}}{2}$
$=2\pi\text{rh}=\text{A}$
$⇒ C.S.A.$ remains the same.

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