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A cylinder of same height and radius is placed on the top of a hemisphere. Find the curved surface area of the shape if the length of the shape be $7\ cm$.
Given:
A cylinder of the same height and radius is placed on the top of a hemisphere.
To do:
We have to find the curved surface area of the shape if the length of the shape is $7\ cm$.
Solution:
Total height of the shape formed $= 7\ cm$
Radius of the cylinder $=$ Height of the cylinder
$=\frac{7}{2} \mathrm{~cm}$
Therefore,
Curved surface area of the shape $=2 \pi r h+2 \pi r^{2}$
$=2 \pi r(h+r)$
$=2 \times \frac{22}{7} \times \frac{7}{2}(\frac{7}{2}+\frac{7}{2})$
$=22\times7$
$=154 \mathrm{~cm}^{2}$
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