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29-09-2021
Mathematics

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A basketball has a volume of about 434 cubic inches. Find the radius of the basketball ( HINT: Volume of a sphere is Volume = 4/3 pi) Round answer to three decimal points. Use 3.14 for pi

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sqdancefan sqdancefan

29-09-2021

9514 1404 393

Answer:

r ≈ 4.698 in

Step-by-step explanation:

The formula for the volume of a sphere is ...

V = (4/3)πr³

Solving for the radius gives ...

r = ∛(3V/(4π))

Filling in the given numbers, we find the volume to be ...

r = ∛(3×434/(4×3.14)) = ∛(16275/157) ≈ 4.697576 . . . inches

Rounded to 3 decimal places, the radius is ...

r ≈ 4.698 in

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