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
381.5 in.3
381.5 inches cubed
190.8 in.3
190.8 inches cubed
113 in.3
113 inches cubed
3,052.1 in.3
The formula for the volume of a sphere is V = (4/3) π r^3, where V is the volume and r is the radius.
Given that the diameter of the basketball is 9 inches, the radius would be half of that, which is 4.5 inches.
Plugging this value into the formula:
V = (4/3) * 3.14 * (4.5)^3
V = (4/3) * 3.14 * 91.125
V = 381.53
Rounded to the nearest tenth, the answer is 381.5 inches cubed.
So, the correct answer is:
381.5 inches cubed.