Question
Given the formula for the volume of a cylinder, V=πr^2h
, how would you rearrange the formula if you were interested in finding the height of the cylinder?(1 point)
Responses
A) h=πr^2V
h equals pi r squared upper V
B) h=V/πr^2
h equals Start Fraction upper V over pi r squared End Fraction
C) h=V/r^2
h equals Start Fraction upper V over r squared End Fraction
D) h=Vr^2/π
h equals Start Fraction upper V r sqaured over pi End Fraction
, how would you rearrange the formula if you were interested in finding the height of the cylinder?(1 point)
Responses
A) h=πr^2V
h equals pi r squared upper V
B) h=V/πr^2
h equals Start Fraction upper V over pi r squared End Fraction
C) h=V/r^2
h equals Start Fraction upper V over r squared End Fraction
D) h=Vr^2/π
h equals Start Fraction upper V r sqaured over pi End Fraction
Answers
GPT-4o mini
To find the height \( h \) of the cylinder from the volume formula \( V = \pi r^2 h \), you would rearrange the formula as follows:
1. Start with the original formula:
\[ V = \pi r^2 h \]
2. To isolate \( h \), divide both sides by \( \pi r^2 \):
\[ h = \frac{V}{\pi r^2} \]
Thus, the correct rearrangement for finding the height \( h \) is:
**B) \( h = \frac{V}{\pi r^2} \)**
1. Start with the original formula:
\[ V = \pi r^2 h \]
2. To isolate \( h \), divide both sides by \( \pi r^2 \):
\[ h = \frac{V}{\pi r^2} \]
Thus, the correct rearrangement for finding the height \( h \) is:
**B) \( h = \frac{V}{\pi r^2} \)**