Question

The radius and height of a cylinder are in the ratio $5:7$. If its volume is $4400cu.cm$, find the radius (in $cm$) of the cylinder.

Answer 1

Let the radius of the cylinder be $5x$ and height be $7x$.

$Volume=4400c{m}^3$

We know that the volume of the cylinder is

$=\pi r^{2}h$

So,

$4400=\frac{22}{7}\times (5x{)}^2\times 7x$

$4400=22\times 25x^2\times x$

$4400=22\times 25x^3$

$x^3=8$

$x=2$

So, the radius will be $5\times 2=10cm$

Hence, this is the answer.