morlandemily404 morlandemily404
  • 18-09-2021
  • Mathematics
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make r the subject of the formula: V=PI Rsquared H

Respuesta :

Happil
Happil Happil
  • 18-09-2021

Rewriting Equations

Answer:

[tex]r = \sqrt{\frac{V}{\pi h}}\\[/tex]

Step-by-step explanation:

Given:

[tex]V = \pi r^2 h[/tex]

Making [tex]r[/tex] the subject of the formula:

[tex]V = \pi r^2 h \\ \pi r^2 h = V \\ \frac{\pi r^2 h}{\pi h} = \frac{V}{\pi h} \\ r^2 = \frac{V}{\pi h} \\ \sqrt{r^2} = \sqrt{\frac{V}{\pi h}} \\ r = \sqrt{\frac{V}{\pi h}}[/tex]

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