    Question

# A solid cylinder of radius $r$ and height $h$ is placed over another cylinder of the same height and radius. The total surface area of the shape so formed is:

A

$4\mathrm{\pi rh}$

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B

$4\mathrm{\pi rh}+2{\mathrm{\pi r}}^{2}$

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C

$\mathrm{\pi rh}+{\mathrm{\pi r}}^{2}$

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D

none of these

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Solution

## The correct option is B $4\mathrm{\pi rh}+2{\mathrm{\pi r}}^{2}$Here height of cylinder $=2h$Radius$=r$TSA of cylinder $=2\mathrm{\pi r}\left(\mathrm{h}+\mathrm{r}\right)$$=2\mathrm{\pi r}\left(2\mathrm{h}+\mathrm{r}\right)\phantom{\rule{0ex}{0ex}}=4\mathrm{\pi rh}+2{\mathrm{\pi r}}^{2}$Hence the correct option is $B$.  Suggest Corrections  0      Similar questions  Related Videos   MATHEMATICS
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