What is the volume of a ball with a diameter of 6 inches?

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To calculate the volume of a ball (or sphere), you can use the formula:

Volume = (4/3) × π × r³

Where:

  • Volume is the volume of the sphere.
  • π (pi) is approximately 3.14159.
  • r is the radius of the sphere.

In this case, we need to find the radius first. The radius (r) is half of the diameter. Given that the diameter of the ball is 6 inches, we can calculate the radius:

r = diameter / 2 = 6 inches / 2 = 3 inches

Now, we can substitute the radius into the volume formula:

Volume = (4/3) × π × (3 inches)³

This simplifies to:

Volume = (4/3) × π × 27 cubic inches

Calculating this yields:

Volume = (4/3) × 3.14159 × 27

Now, performing the arithmetic:

Volume ≈ 113.097 cubic inches

Therefore, the volume of a ball with a diameter of 6 inches is approximately 113.10 cubic inches.

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