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.