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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

Respuesta :

Answer:

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

Step-by-step 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

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