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 m

Question

3 years ago

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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 m

uch 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

Mathematics

1 answer:

allochka39001 [22] · Answer 1 · 2022-03-30T14:15:59+03:00

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) $\pi$ r³

V = (4/3) $\pi$ (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