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. Round your answer to the nearest tenth.
(1 point)
Responses
A. 113 in.^3
B. 190.8 in.^3
C. 381.5 in.^3
D. 3,052.1 in.^3
The formula for the volume of a sphere is V = (4/3) * π * r^3, where r is the radius of the sphere.
Given that the diameter of the basketball is 9 inches, the radius (r) would be half of that, which is 4.5 inches.
Plugging in the values:
V = (4/3) * 3.14 * (4.5)^3
V = (4/3) * 3.14 * 91.125
V = 381.49 in.^3
Rounded to the nearest tenth, the amount of air needed to fill the basketball is approximately 381.5 in.^3.
Therefore, the answer is C. 381.5 in.^3.