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
3,052.1 in.3
3,052.1 inches cubed
381.5 in.3
To find the volume of a sphere, we use the formula V = (4/3)πr^3. Since we are given the diameter of the basketball, which is 9 inches, we can find the radius by dividing the diameter by 2.
Radius (r) = diameter/2 = 9/2 = 4.5 inches
Now, we can substitute the value of the radius into the volume formula:
V = (4/3)π(4.5)^3
V = (4/3)π(91.125)
V ≈ 381.5 in.3
Therefore, the answer is 381.5 in.3.