A toy company needs to package balls with a 2-inch radius in sets of two. They have two options: a square prism or a cylinder. The dimensions are shown below.
2 balls are shown inside of a square prism and 2 balls are shown inside of a cylinder. The square prism has base lengths of 4 inches and the prism has a height of 8 inches. The cylinder has a radius of 2 inches and a height of 8 inches.
It costs the same to produce both packages, so the company wants to reduce the amount of wasted space, or space not taken by the balls. Which package should the company choose?
the cylinder because it has about 27.5 in.3 less wasted space than the prism
the cylinder because it has about 61 in.3 less wasted space than the prism
the prism because it has about 22.5 in.3 less wasted space than the cylinder
the prism because it has about 67 in.3 less wasted space than the cylinder