v=1/3pi r^2 h

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- Aug 10th 2008, 04:10 PMLolaRNalgabraic symbol manipulation
v=1/3pi r^2 h

- Aug 10th 2008, 05:00 PMChris L T521
- Aug 10th 2008, 09:27 PMLolaRN
Sorry, I need to solve for h.

- Aug 10th 2008, 09:30 PMChris L T521
$\displaystyle V=\tfrac{1}{3}\pi r^2h$

To solve for h, let us first multiply both sides by 3 to get

$\displaystyle 3V=\pi r^2 h$

Now divide by $\displaystyle \pi$ to get

$\displaystyle \frac{3V}{\pi}=r^2 h$

Now to isolate h, divide by $\displaystyle r^2$, and we get what we are looking for:

$\displaystyle \color{red}\boxed{h=\frac{3V}{\pi r^2}}$

Does this make sense?

--Chris