Manipulate formulas
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Answer:
[tex]\sqrt{\frac{3V}{\pi h} }[/tex]
Step-by-step explanation:
We have [tex]V = \frac{1}{3} \pi r^2h[/tex].
We can multiply both sides by 3 to get:
[tex]3V = \pi r^2h[/tex]
Divide by [tex]\pi[/tex] by both sides
[tex]\frac{3V}{\pi} = r^2h[/tex]
And divide by h by both sides:
[tex]\frac{3V}{\pi h} = r^2[/tex]
And finally take the square root of both sides.
[tex]\sqrt{\frac{3V}{\pi h} } = r[/tex]
Done!