CCSS IP Math II 6.5.2 Example 5

Topic:
Sphere, Volume
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.