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gmany
[tex]\dfrac{1}{3}\cdot\pi r^2h=V\ \ \ |\cdot3\\\\\pi r^2h=3V\ \ \ |:\pi r^2\\\\h=\dfrac{3V}{\pi r^2}\\\\if\ \pi=3.14\ then\ h=\dfrac{3V}{3.14r^2} [/tex]

Answer:

[tex]h=\frac{3V}{ 3.14 r^2}[/tex]

Step-by-step explanation:

Given formula is,

[tex]V=\frac{1}{3}\times 3.14\times r^2 h[/tex]

For finding the formula for h,

We need to isolate h in the above equation,

Divide both sides by  [tex]\frac{1}{3}\times 3.14\times r^2[/tex]

[tex]\frac{V}{\frac{1}{3}\times 3.14\times r^2}=h[/tex]

[tex]\frac{3V}{ 3.14 r^2}=h[/tex]

Hence, the required formula for finding h is,

[tex]h=\frac{3V}{ 3.14 r^2}[/tex]

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