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)

Question

Responses

h=Vπr2
h equals Start Fraction upper V over pi r squared End Fraction

h=πr2V
h equals pi r squared upper V

h=Vr2
h equals Start Fraction upper V over r squared End Fraction

h=Vr2π

Answer 1

To find the height of the cylinder \( h \) from the formula \( V = \pi r^2 h \), you need to rearrange the equation.

Starting with:

\[ V = \pi r^2 h \]

To isolate \( h \), divide both sides by \( \pi r^2 \):

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

So the correct rearrangement is:

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

This corresponds to the response:

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