Respuesta :
[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]