The volume of a cylinder is 90 cu. cm. and its base area is 18 sq.cm Find the height of the cylinder"

Given :

The volume of a cylinder is 90 cu. cm. and its base area is 18 sq.cm.

To find:

we have to find the height of the cylinder.

Solution: 

Let the radius of the base of the cylinder be 'r' cm and the height be $h$.

The base area of a cylinder of radius $r = 2\pi r$ 

Therefore,

$2\pi r= 2 \times \frac{22}{7} \times r$

$18 = \frac{44}{7}r$

$r=\frac{7\times18}{44}\ cm$

$r=\frac{63}{22}\ cm$

The volume of a cylinder of radius $r$ and height $h=\pi r^2h$

$90=\frac{22}{7}\times(\frac{63}{22})^2\times h$

$90\times7\times22=63\times63\times h$

$10\times22=63\times h$

$h=\frac{220}{63}\ cm$

The height of the cylinder is $\frac{220}{63}\ cm$. 

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Updated on: 10-Oct-2022

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