Final answer:
The expression for r is r = (V/πh^2) + h/3.
Step-by-step explanation:
To make r the subject of the relation V=πh^2(r-h/3), we can follow the steps below:
- Divide both sides of the equation by πh^2 to isolate r.
- This gives us: (V/πh^2) = r - h/3.
- Add h/3 to both sides of the equation to get rid of the subtraction.
- This gives us: (V/πh^2) + h/3 = r.
Therefore, the expression for r is r = (V/πh^2) + h/3.