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4 votes
What is the volume, in cubic
inches, of
a basketball with a diameter of 9
inches?

User ProtoVB
by
7.1k points

1 Answer

2 votes

Answer:

381.7 in³

Explanation:

You want the volume of a sphere 9 inches in diameter.

Volume

A suitable formula for the volume of a sphere is ...

V = π/6d³ . . . . . . where d is the diameter

Then the volume of a 9" sphere is ...

V = π/6(9 in)³ = 121.5π in³ ≈ 381.7 in³

The volume of a 9-inch basketball is about 381.7 cubic inches.

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Additional comment

The above answer is found using the calculator's "pi button." If we use 3.14 instead, the volume is calculated as 381.51 in³.

The formula you usually see for the volume of a sphere is ...

V = 4/3πr³ . . . . where r = d/2

Either formula will give the same result.

User Margareta
by
7.0k points