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=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

Answer 1

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.