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A soccer ball with a diameter of 8.6 inches is shipped in a box that is a square prism and has a side length of 9.5 inches.How much volume is available to be filled with packing material the shipping company wants the box completely full? Round your answer to the nearest tenth.

1,190.2 in^3
774.2 in^3
1,805.6 in^3
5,115.8 in^3
524.5 in^3

A soccer ball with a diameter of 86 inches is shipped in a box that is a square prism and has a side length of 95 inchesHow much volume is available to be fille class=

Respuesta :

rococo908

Answer:

524.5 in³

Step-by-step explanation:

First, we can find the volume of the box:

V = s³

V = 9.5³

V = 857.38 in³

Then, we can find the volume of the soccer ball:

V = (4/3)[tex]\pi[/tex]r³

V = (4/3)[tex]\pi[/tex](4.3)³

V = 333.04 in³

Then, subtract the volume of the ball from the volume of the box:

857.4 - 333.0 = 524.4

So, this is closest to the answer 524.5 in³

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