Val Measures the diameter of a ball as 12 inches. How many cubic inches of air does this ball hold, to the nearest tenth? Use 3.14 for Pi

To calculate the volume of the ball, we need to use the formula for the volume of a sphere:

V = (4/3) * π * r^3,

where V is the volume, π is the constant pi (approximately 3.14), and r is the radius of the sphere.

First, we need to find the radius of the ball. Since Val measured the diameter, which is the distance across the ball passing through its center, we can calculate the radius by dividing the diameter by 2:

radius = diameter / 2 = 12 inches / 2 = 6 inches.

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

V = (4/3) * 3.14 * (6 inches)^3
≈ (4/3) * 3.14 * 216 inches^3
≈ 904.32 inches^3.

Therefore, the ball holds approximately 904.32 cubic inches of air when rounded to the nearest tenth.

V=4/3πr^3

V = 1.3333 * 3.14 * 6^3