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
190.8 in.3
190.8 inches cubed
3,052.1 in.3
3,052.1 inches cubed
381.5 in.3
381.5 inches cubed
113 in.3
To find the volume of a sphere, we use the formula V = (4/3) * π * r^3, where r is the radius of the sphere.
Since the basketball has a diameter of 9 inches, the radius is half the diameter, which is 9/2 = 4.5 inches.
Plugging in the values into the formula, we get V = (4/3) * 3.14 * (4.5)^3.
Simplifying, we have V = (4/3) * 3.14 * 91.125.
Calculating, V = 381.51 inches cubed.
Rounding to the nearest tenth, the answer is 381.5 in.3.
Therefore, the correct answer is 381.5 inches cubed.