A well with 10m inside diameter is dug 14m deep. Earth taken out of it is spread all around to a width of 5m to form an embankment. Find the height of embankment.

Explanation

Height, `h=14m` and diameter, `d=10m`

So, radius, `r=10/2=5m`

Volume of earth dug-out= `pir^2h`

`pixx5^2xx14`=`350pi m^3`

Let the height of embankment be H m.

Volume of embankment = `350pixxH`

`pi(r+5)^2xx(H-pi)xxr^2H=350pi`

`H(100-25)=350`

...