Question

Given the formula for the volume of a cylinder, $V=\pi r^{2}h$ how would you rearrange the formula
if you were interested in finding the height of the cylinder? (1 point)
$h=\frac {V}{r^{2}}$
$h=\frac {V}{\pi r^{2}}$
$h=\frac {Vr^{2}}{\pi }$
$h=\pi r^{2}V$

Answer 1

To rearrange the formula for the volume of a cylinder, \( V = \pi r^2 h \), in order to solve for the height \( h \), we follow these steps:

1. Start with the original formula:
\[
V = \pi r^2 h
\]

2. To isolate \( h \), divide both sides of the equation by \( \pi r^2 \):
\[
h = \frac{V}{\pi r^2}
\]

Thus, the correct rearranged formula for height \( h \) is:
\[
h = \frac{V}{\pi r^2}
\]

Therefore, the correct answer is:
\[
\boxed{h = \frac{V}{\pi r^2}}
\]