Given the formula for the volume of a cylinder, V=πr2h

Question

, how would you rearrange the formula if you were interested in finding the height of the cylinder?(1 point)
Responses

h=πr2V
h equals pi r squared upper V

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

Answer 1

To rearrange the formula for the volume of a cylinder \( V = \pi r^2 h \) in order to solve for the height \( h \), you can follow these steps:

1. Start with the original formula: \[ V = \pi r^2 h \]

2. To isolate \( h \), divide both sides of the equation by \( \pi r^2 \): \[ h = \frac{V}{\pi r^2} \]

Thus, the correct rearranged formula for the height \( h \) of the cylinder is:

\[ h = \frac{V}{\pi r^2} \]

So among the given responses, the correct one is:

h = Start Fraction upper V over pi r squared End Fraction.