Question

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.The company wants to use the package that has the least amount of wasted space. The company should choose

Answer 1

The Company should choose to get the cylinder packages ( V = 42.39 in³ )

Explanation:

The volume of a cylinder of radius of circumference 1.5 in and h = 1.5*4

h = 6 in is:

V(c) = π *r²*h = π * (1.5)²*6 = π *2.25*6

V(c) = 42.39 in³

Now V(p) = Square of the base ( of side 3 in) * h

h = 6 in

V(p) = (3)²*6

V(p) = 54 in³

If we compare these two volumes we see that the volume of the cylinder is small than that of the square prism