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8. A basketball with a diameter of 9.5 inches
is packaged in a cubic box measuring
9.5 inches on each edge. Determine the
volume of the empty space in the box.

Respuesta :

Answer:

408.45 in^3.

Step-by-step explanation:

Volume of the empty space = Volume of the box - volume of the basketball

=  9.5^3 - 4/3 π r^3.

The radius of the ball r  = 1/2 * 9.5 = 4.75 inches.

So the answer is 9.5^3 - 4/3  π  (4.75)^3

=  857.375 - 448.921

= 408.45 in^3.    

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