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
113 in.3
113 inches cubed
381.5 in.3
381.5 inches cubed
3,052.1 in.3
To find the volume of a sphere, we use the formula V = (4/3)πr^3, where V is the volume and r is the radius.
Since we are given the diameter of the basketball, we can divide it by 2 to find the radius. The diameter is 9 inches, so the radius is 9/2 = 4.5 inches.
Now we can plug 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. So the correct answer is:
381.5 in.3