Consider a pool shaped like the bottom half of a sphere, that is being filled. The radius of the pool is $10ft.$ The formula for the volume of

a partial hemisphere is $V=\frac{h}{6}(3r^2+h^2)$ where $h$ is the height of the water and $r$ is the radius of the water.

If the height is increasing at a rate of $1i\frac{n}{s}$ when the depth of the water is $2ft,$ find the rate $($in $f\frac{t^3}{m}in)$ at which water is being pumped

in$.$

$f\frac{t^3}{m}in$