The formula for the volume of a cylinder is shown, where r is the radius and h is the height.V = πr² hWhich equation finds h, given V and r?

The formula for the volume of a cylinder is shown where r is the radius and h is the heightV πr hWhich equation finds h given V and r class=

Respuesta :

Answer:[tex]\frac{V}{\pi r^2}[/tex]Explanations:

The formula for calculating the volume of a cylinder is:

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

Given V and r, we can make h the subject of the equation

[tex]\begin{gathered} V\text{ = }\Pi r^2h \\ \text{Divide both sides by }\Pi r^2 \\ \frac{V}{\prod r^2}=\text{ }\frac{\Pi r^2h}{\Pi r^2} \\ \frac{V}{\prod r^2}=\text{ h} \\ h\text{ = }\frac{V}{\prod r^2} \end{gathered}[/tex]