Please Check my Answer TIA

If:

$\displaystyle V=(6-\frac{r^2}{3})*h$

and

$\displaystyle \frac{h}{2-r}$=$\displaystyle \frac{5}{2}$

write V as a function of h . Simplify the function so that you can express it as a polynomial in h .

My answer: 1st, I solved for R in the equation:

$\displaystyle \frac{h}{2-r}$=$\displaystyle \frac{5}{2}$ and figured it to be: $\displaystyle \frac{4h^2-40h+100}{75}$=$\displaystyle \frac{r^2}{3}$

I then, plugged it into the equation $\displaystyle V=(6-\frac{\pi^2}{3})*h$

since I now know R. I am positive my answer is correct but the computer is rejecting it.

Here is my answer:

$\displaystyle V=\frac{4h^3+40h^2}{75}$ +350