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 [math]20[/math] pieces of gum shaped like spheres. Each piece has a radius of [math]5[/math] mm. Package 2 has [math]5[/math] pieces of gum shaped like spheres. Each piece has a radius of [math]10[/math] mm. Which package should the teenager buy? Round to the nearest millimeter.
