A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square prism. 2 balls are inside of a cylinder and 2 balls are inside of a square prism. The cylinder has a height of 6 inches and a radius of 1.5 inches. The square prism has base lengths of 3 inches and the prism has a height of 6 inches. The company wants to use the package that has the least amount of wasted space. The company should choose
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Company should choose cylindrical prism as that has the least amount of wasted space.
Step-by-step explanation:
Volume of cylinder = π r² h
= (22/7) * 1.5² * 6
= 297/7
= 42.4 inch²
Volume of Square prism = 3 * 3 * 6 = 54 inch²
Volume of Two balls = 2 * (4/3)πR³
= (8/3) (22/7) (1.5)³
= 198/7
= 28.3 inch²
Wastage in cylinder = 42.4 - 28.3 = 14.1 inch²
Wastage in square Prism = 54 - 28.3 = 25.7 inch²
Company should choose cylindrical prism as that has the least amount of wasted space.
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