A solid cylinder of radius $r$ and height $h$ is placed over other cylinder of same height and radius. Find the total surface area of the shape so formed.

Given: A solid cylinder of radius $( r)$ and height $( h)$ is placed over other cylinder of same height and radius. 

To do: To find the total surface area of the shape so formed.

Solution:

As given,  radius of the cylinder$=r$

Height of the cylinder$=h$

After placing cylinder over cylinder, radius of the cylinder will remain the same.

Height of the cylinder will become $2h$.

Total surface area of the new shape$=2\pi r( r+2h)$

$=2\pi r^2+4\pi rh$

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Updated on: 10-Oct-2022

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