Question
Given the formula for the volume of a cylinder, V=πr2h
, how would you rearrange the formula if you were interested in finding the height of the cylinder?(1 point)
Responses
h=Vπr2
h equals Start Fraction upper V over pi r squared End Fraction
h=Vr2
h equals Start Fraction upper V over r squared End Fraction
h=Vr2π
h equals Start Fraction upper V r sqaured over pi End Fraction
h=πr2V
, how would you rearrange the formula if you were interested in finding the height of the cylinder?(1 point)
Responses
h=Vπr2
h equals Start Fraction upper V over pi r squared End Fraction
h=Vr2
h equals Start Fraction upper V over r squared End Fraction
h=Vr2π
h equals Start Fraction upper V r sqaured over pi End Fraction
h=πr2V
Answers
GPT-4o mini
To rearrange the formula for the volume of a cylinder, \( V = \pi r^2 h \), in order to solve for the height \( h \), you would divide both sides of the equation by \( \pi r^2 \).
Starting with the original formula:
\[ V = \pi r^2 h \]
To isolate \( h \), divide both sides by \( \pi r^2 \):
\[ h = \frac{V}{\pi r^2} \]
Therefore, the correct rearrangement is:
**h equals Start Fraction upper V over pi r squared End Fraction**
So the correct response is:
**h = \frac{V}{\pi r^2}**
Starting with the original formula:
\[ V = \pi r^2 h \]
To isolate \( h \), divide both sides by \( \pi r^2 \):
\[ h = \frac{V}{\pi r^2} \]
Therefore, the correct rearrangement is:
**h equals Start Fraction upper V over pi r squared End Fraction**
So the correct response is:
**h = \frac{V}{\pi r^2}**