The volume V of a cylindrical can is represented by the formula V=πr2h, where h is the height and r is the radius. A cylindrical can has a volume of 1152π cubic centimeters and a height of 8 centimeters. What is the radius of the can?
You are given that the volume of a cylinder is [tex]V= \pi r^{2} h[/tex].
You are also told that this particular cylinder (the can) has a volume of [tex]1152 \pi [/tex] and a height of 8. That is, for this particular cylinder the following are true:
V=[tex]1152 \pi [/tex] h=8
Now we plug these values into the formula for the volume of a cylinder and solve for r. We do this as follows:
