algabraic symbol manipulation

**LolaRN** · August 10th 2008, 04:10 PM

v=1/3pi r^2 h

**Chris L T521** · August 10th 2008, 05:00 PM

Originally Posted by LolaRN

v=1/3pi r^2 h

What are we supposed to do with this? Please give more details, or just post what the original question is asking.

--Chris

**LolaRN** · August 10th 2008, 09:27 PM

Sorry, I need to solve for h.

**Chris L T521** · August 10th 2008, 09:30 PM

Originally Posted by LolaRN

Sorry, I need to solve for h.

$V=\tfrac{1}{3}\pi r^2h$

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

$3V=\pi r^2 h$

Now divide by $\pi$ to get

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

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

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

Does this make sense?

--Chris

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