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
113 in.3
113 inches cubed
381.5 in.3
381.5 inches cubed
3,052.1 in.3
3,052.1 inches cubed
190.8 in.3
The formula for the volume of a sphere is V = (4/3) * pi * r^3, where r is the radius of the sphere.
Given that the diameter of the basketball is 9 inches, the radius would be half of that, which is 4.5 inches.
Plugging in the values into the formula, we get:
V = (4/3) * 3.14 * (4.5)^3
V = (4/3) * 3.14 * 91.125
V = 381.51 inches cubed
Thus, the amount of air needed to fill a basketball with a diameter of 9 inches would be approximately 381.5 cubic inches.
Therefore, the answer is 381.5 in.3.