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.