4. The equation below is an equation to calculate the volume of a cylinder,V, where r represents the radius of the cylinder and h represents its height.Which equation allows us to easily find the height of the cylinder because itis solved for h?*V = arah

4 The equation below is an equation to calculate the volume of a cylinderV where r represents the radius of the cylinder and h represents its heightWhich equati class=

Respuesta :

As given by the question

There are given that the formula of volume of a cylinder:

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

Now,

For the value of h

[tex]\begin{gathered} V=\pi\times r^2\times h \\ \frac{V}{h}=\frac{\pi\times r^2\times h}{h} \\ \frac{V}{h}=\pi\times r^2 \end{gathered}[/tex]

Then,

[tex]\begin{gathered} \frac{V}{h}=\pi\times r^2 \\ h=\frac{V}{\pi\times r^2} \end{gathered}[/tex]

Hence, the correct option is C.