10. Exactly how many cubic inches of air can a fully inflated basketball hold if its radius is 4.8 inches

The volume of a sphere can be found by the formula:

volume = 4/3 π r3

To determine the number of cubic inches of air a fully inflated basketball can hold, we need to use the formula for the volume of a sphere. The formula for the volume of a sphere is V = 4/3 * π * r^3, where V represents volume, π represents pi (approximately 3.14159), and r represents the radius.

In this case, the radius of the basketball is given as 4.8 inches. We can substitute this value into the formula to find the volume:

V = 4/3 * π * (4.8)^3

Calculating this expression, the volume of the basketball is approximately 458.8825 cubic inches.

So, a fully inflated basketball with a radius of 4.8 inches can hold approximately 458.8825 cubic inches of air.