Asports 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

a.)the prism because it has approximately 11.6 in.3 less wasted space than the cylinder.
b.)the prism because it has approximately 14.1 in.3 less wasted space than the cylinder.
c.)the cylinder because it has approximately 11.6 in.3 less wasted space than the prism.
d.)the cylinder because it has approximately 14.1 in.3 less wasted space than the prism.

Option c.) the cylinder because it has approximately 11.6 in.3 less wasted space than the prism.

Step-by-step explanation:

step 1

Find the volume of one ball

The volume of the sphere is equal to

we have

therefore

The volume of two balls is

step 2

Find the volume of the cylinder

The volume of the cylinder is equal to

we have

substitute

therefore

The wasted space with the cylinder is equal to

step 3

Find the volume of the square prism

The volume of the square prism is equal to

we have

substitute

therefore

The wasted space with the prism is equal to

step 4

Find the difference of the wasted space

65

step-by-step explanation:

step-by-step explanation:

once you graph it hit 2nd (the blue button) and graph

that takes you to a table of coordinates

on the left is x coordinates and on the right is y coordinates and an empty box

(you may have to scroll up/down in order to get ( x, 0)