The equation for the volume of a cylinder is:
V = height * area of base
A cylinder has a circle for a base, and the equation for the area of a circle is:
A = pi * r^2
We know the area of the base, so plug it into the volume equation:
[tex] V = h*A_{base}\\\\V=h*(\pi*r^{2})[/tex]
Now input the height and radius of the cylinder:
[tex]V=h*\pi*r^{2}\\\\V=(3)*\pi*(2)^{2}\\\\V=12\pi[/tex]
Thus, the volume of the cylinder is 12pi, or 37.699111...
