Question

The company wants to use the package that has the least amount of wasted space. the company should choose the prism because it has approximately 11.6 in.3 less wasted space than the cylinder. the prism because it has approximately 14.1 in.3 less wasted space than the cylinder. the cylinder because it has approximately 11.6 in.3 less wasted space than the prism. the cylinder because it has approximately 14.1 in.3 less wasted space than the prism.

Answer 1

The company should choose the cylinder because it has approximately 11.6 cubic inches less wasted space than the prism.

What are the volumes of the ball, prism and cylinder?

The volume of the ball is calculated from its radius.

Radius of the ball = 1.5 inches

Volume of the spherical ball = 14.14 cubic inches

Volume of two balls = 28.28 cubic inches

Volume of prism = 54 cubic inches

Volume of cylinder = 42.41 cubic inches

Difference between volumes = 11.6 cubic inches

Therefore, the company should choose the cylinder because it has approximately 11.6 cubic inches less wasted space than the prism.

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