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.

[list=1][br][*]Find the volume of a piece of gum in package 1 by using the volume formula for a sphere.[br][*]Multiply the volume of the single piece of gum in package 1 by [math]20[/math] to get the total volume of the gum in the package.[br][*]The radius of each piece of gum in package 2 is [math]10[/math] mm. Find the volume of a piece of gum in package 2 by using the volume formula for a sphere.[br][*]Multiply the volume of a single piece of gum in package 2 by [math]5[/math] to get the total volume of gum in the package.[br][*]Compare the volumes of the two packages to determine the best purchase.[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url=http://www.walch.com]www.walch.com[/url] for more information.