SOLUTION: A basketball fits with the sides just touching the edges of a 1ft cubed box. Henry needs to know how much space is in the box so he can fill it with foam. How much air is left in t

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Question 429311: A basketball fits with the sides just touching the edges of a 1ft cubed box. Henry needs to know how much space is in the box so he can fill it with foam. How much air is left in the box with the basketball in it?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A basketball fits with the sides just touching the edges of a 1ft cubed box.
Henry needs to know how much space is in the box so he can fill it with foam.
How much air is left in the box with the basketball in it?
:
We are going to do this in cubic inches
:
From the information given we know:
Box volume = 12*12*12 = 1728 cu/in
Ball radius = 6 inches
Subtract the ball vol from the box vol
:
Air left: 1728+-+%28%284%2F3%29%2Api%2A6%5E3%29%29 = 823.22 cubic inches of air
That's
823.22%2F1728 = .476 cu/ft