The radius and height of a cylinder are in the ratio 5 : 7 and its volume if `550\ c m^3dot` Find its radius. `(U s e\ pi=(22)/7)`

Explanation

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

As we know that volume of a cylinder = `pir^2h`

`550=22/7xx(5x)^2xx(7x)`

`(550xx7)/22=175x^3`

`x=1cm`

So, radius = `5x` = `5xx1`

Hence, radius of a cylinder is `5cm`.