Author Topic: calculus q: simplification (Read 986 times) Tweet Share

lacoste · « **on:** June 13, 2009, 09:56:21 pm »

how do i simplify this:

V= (pi r^2/2)*(5 - pi r^2 / pi r )

thank-you!

Flaming_Arrow · « **Reply #1 on:** June 13, 2009, 10:04:20 pm »

GerrySly · « **Reply #2 on:** June 13, 2009, 10:11:15 pm »

$\begin{align*} V&=\frac{\pi r^2}{2}\left ( \frac{5-\pi r^2}{\pi r} \right )\\ &=\frac{\pi r^2}{2} \left ( \frac{5}{\pi r}-\frac{\pi r^2}{\pi r} \right )\\ &=\frac{\pi r^2}{2} \left ( \frac{5}{\pi r} - r \right )\\ &=\frac{5 \pi r ^2}{2\pi r}-\frac{\pi r^3}{2}\\ &=\frac{5 r}{2}-\frac{\pi r^3}{2}\\ &=\frac{r}{2}(5-\pi r^2) \end{align*}$

Just in case you needed the extra steps heh

lacoste · « **Reply #3 on:** June 13, 2009, 10:26:42 pm »

thanks FA and thanks gerrysly!!! esp for the extra steps cheers buddy!!

evaporade · « **Reply #4 on:** June 13, 2009, 11:39:18 pm »

There is a chance of losing marks by going around the circle.

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Author Topic: calculus q: simplification (Read 986 times) Tweet Share

lacoste

calculus q: simplification

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lacoste

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