A teenager buying some chewing gum is comparing packages of gum in order to get the most gum possible. Each package costs the same amount. Package 1 has pieces of gum shaped like spheres. Each piece has a radius of mm. Package 2 has pieces of gum shaped like spheres. Each piece has a radius of mm. Which package should the teenager buy? Round to the nearest millimeter.

Find the volume of a piece of gum in package 1 by using the volume formula for a sphere.

Multiply the volume of the single piece of gum in package 1 by to get the total volume of the gum in the package.

The radius of each piece of gum in package 2 is mm. Find the volume of a piece of gum in package 2 by using the volume formula for a sphere.

Multiply the volume of a single piece of gum in package 2 by to get the total volume of gum in the package.

Compare the volumes of the two packages to determine the best purchase.

This applet is provided by Walch Education as supplemental material for the CCGPS Analytic Geometry program. Visit www.walch.com for more information on our resources.