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alexdok [17]
3 years ago
11

Make r the subject of the formula

20%20%5Cfrac%7Bh%7D%7B3%7D%29" id="TexFormula1" title="v = \pi \: h {}^{2}(r - \frac{h}{3})" alt="v = \pi \: h {}^{2}(r - \frac{h}{3})" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0

Answer:

\boxed{r =  \frac{h}{3}  +  \frac{v}{\pi {h}^{2} } }

Step-by-step explanation:

Solve \:  for \:  r:  \\  =  >   v= \pi {h}^{2}(r -  \frac{h}{3}  ) \\  \\  v=\pi {h}^{2}(r -  \frac{h}{3}  )is \:  equivalent  \: to   \:   {h}^{2}\pi(r -  \frac{h}{3}  ) = v: \\  =  >  {h}^{2}\pi(r -  \frac{h}{3}  ) = v \\  \\ Divide  \: both \:  sides  \: by  \: \pi  {h}^{2} :  \\  =  > r -  \frac{h}{3}  =  \frac{v}{\pi {h}^{2} }  \\  \\ Add \:   \frac{h}{3}  \:  to  \: both \:  sides:  \\  =  > r =  \frac{h}{3}  +  \frac{v}{\pi {h}^{2} }

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