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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Updated on: 10-Oct-2022

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