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