A basketball has a diameter of 29.5 inches. If the basketball is fully inflated, about how many cubic inches of air will it hold?

13435.209583333333 this is actual answer

To find the volume of air a fully inflated basketball can hold, we need to calculate the volume of a sphere using its diameter.

The formula for the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius of the sphere. Since we have the diameter of the basketball, we can divide it by 2 to get the radius.

Given that the diameter of the basketball is 29.5 inches, the radius would be (29.5/2) inches.

Let's plug in the values into the formula:

V = (4/3)π(29.5/2)^3
= (4/3)π(14.75)^3
≈ 4.19 x 3.14 x (14.75)^3
≈ 41.63 x (14.75)^3
≈ 41.63 x 3175.40
≈ 132,161.11 cubic inches

Therefore, a fully inflated basketball will hold approximately 132,161.11 cubic inches of air.

V = 4/3 * pi * r^3

V = 4/3 * 3.14 * 14.8^3

36

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