Looks like you've made a small multiplication error somewhere.
You are right that h / (2 - r) = 5/2 is the same as (10 - 5r)/2. But you can make things easier for yourself if you simplify that further. Why not just write (5/2)(2-r) = h?
Now, take V, and replace h with what you found.
(( 2 - r^2)/3)(5/2)(2-r).
Now, to make things look simpler, let's pull out that 1/3 and the 5/2 and simplify them.
(1/3)*(5/2) = 5/6
So now we have (5/6)(2-r^2)(2-r)
You can multiply out (2 - r^2) and (2 - r), right? Then either multiply each term of your answer by 5/6 or leave the 5/6 factored out in front.