V= pie r squared h, solving for pie

1 answer

The formula for the volume \( V \) of a cylinder is given by:

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

where \( r \) is the radius of the base of the cylinder, \( h \) is the height, and \( \pi \) (pi) is a constant (~3.14159).

To solve for \( \pi \), you can rearrange the equation. First, isolate \( \pi \):

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

  2. Divide both sides by \( r^2 h \): \[ \frac{V}{r^2 h} = \pi \]

Thus, the formula for \( \pi \) in terms of the volume \( V \), radius \( r \), and height \( h \) is:

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