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Radius and total surface area of a cylinder are $7\ cm$ and $968\ cm^2$ respectively. Find its height.$( use\ \pi=\frac{22}{7})$.
Given: Radius and total surface area of a cylinder are $7\ cm$ and $968\ cm^2$ respectively.
To do: To find the height. of the cylinder.
Solution:
As given
Given, Radius of cylinder $( r)=7\ cm$
Total Surface Area $=968\ cm^2$
Height $( h)=?$
Total surface area of cylinder$=2\pi r( h+r)$
By putting values $968=2\times\frac{22}{7}\times7( h+7)$
$\Rightarrow 968 = 44( h + 7)$
$\Rightarrow \frac{968}{44}=h+7$
$\Rightarrow 22 = h + 7$
$\Rightarrow h = 22-7$
$\Rightarrow h = 15\ cm$
$\therefore$ Height of cylinder $=15\ cm$.
Updated on: 10-Oct-2022
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