Question

Find the volume for the cylinder with the given measurement.

r = 2, h = 3

Answer 1

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:


`V = h*A_(base)\\\\V=h*(\pi*r^(2))`
Now input the height and radius of the cylinder:


`V=h*\pi*r^(2)\\\\V=(3)*\pi*(2)^(2)\\\\V=12\pi`

Thus, the volume of the cylinder is 12pi, or 37.699111...