use the formula for the volume of a sphere to solve the following problem?
how much air is needed to fill a basketball with a diameter of 9 inches? Use 3.14 as an approximation for pi.
a. 381.5 in. ^3
b. 113 in. ^3
c. 190.8 in^3
d. 3,052.1 in. ^3
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere.
Given that the diameter of the basketball is 9 inches, the radius (r) is half of the diameter, so r = 4.5 inches.
Plugging in the values, we get:
V = (4/3) * 3.14 * (4.5)^3
V = (4/3) * 3.14 * 91.125
V = 381.5 inches^3
Therefore, the amount of air needed to fill a basketball with a diameter of 9 inches is approximately 381.5 inches^3.
So, the answer is a. 381.5 in^3.