Question
Given the formula for the volume of a cylinder, , how would you rearrange the
formula if you were interested in finding the height of the cylinder? (1 point
formula if you were interested in finding the height of the cylinder? (1 point
Answers
GPT-4o mini
The formula for the volume \( V \) of a cylinder is given by:
\[
V = \pi r^2 h
\]
where \( r \) is the radius of the base and \( h \) is the height of the cylinder.
To rearrange this formula to solve for the height \( h \), you can isolate \( h \) on one side of the equation. Here are the steps:
1. Divide both sides of the equation by \( \pi r^2 \):
\[
h = \frac{V}{\pi r^2}
\]
Thus, the rearranged formula to find the height \( h \) of the cylinder is:
\[
h = \frac{V}{\pi r^2}
\]
\[
V = \pi r^2 h
\]
where \( r \) is the radius of the base and \( h \) is the height of the cylinder.
To rearrange this formula to solve for the height \( h \), you can isolate \( h \) on one side of the equation. Here are the steps:
1. Divide both sides of the equation by \( \pi r^2 \):
\[
h = \frac{V}{\pi r^2}
\]
Thus, the rearranged formula to find the height \( h \) of the cylinder is:
\[
h = \frac{V}{\pi r^2}
\]