Given the formula for the volume of a cylinder, V=πr^2h

Question

, 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

Answer 1

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) \( h = \frac{V}{\pi r^2} \)