The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere. Since the diameter of the basketball is 9 inches, the radius is half of that, which is 4.5 inches.
Now, we can substitute the value of the radius into the formula:
V = (4/3)π(4.5)^3
V ≈ 381.5 in.^3
Therefore, the amount of air needed to fill the basketball is approximately 381.5 in.^3, which is option C.
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
3,052.1 in.3
3,052.1 inches cubed
381.5 in.3
381.5 inches cubed
190.8 in.3
1 answer