Your class project is to design a piece of playground equipment for an
elementary school. You design a romper room that will contain small plastic
balls for the children to roll around in. The room will be 10 feet by 10 feet. The
plastic balls will cover the entire floor to a depth of 2 feet. A toy distributor can
ship you 190 balls (each with a radius of 1 inches) in a cubic box, 20 inches on
a side.
22. Find an expression for the volume (in cubic inches) of one ball.
23. Find an expression that represents the ratio of the volume of 190
balls to the volume of the cubic box.
24. What percent of the volume of the cubic box is filled with plastic
balls?
25. Find the volume of the region in the romper room that will contain
plastic balls. Give your result in cubic inches.
26. Based on the percent of the volume of the cubic box that is filled with
plastic balls, how many balls will you need to fill the romper room?