Use the formula for the volume of a sphere to solve the following problem how much air is needed to feel a basketball with a diameter of 9 in use 3.14 as an approximation for pie round your answer to the nearest tenth
To find the volume of a sphere, we use the formula:
V = (4/3) * π * r^3
where V is the volume, π is approximately 3.14, and r is the radius of the sphere.
Given that the diameter of the basketball is 9 inches, we can find the radius by dividing the diameter by 2:
r = 9 / 2 = 4.5 inches
Now we can substitute the values into the formula:
V = (4/3) * 3.14 * (4.5)^3
V = (4/3) * 3.14 * 91.125
V ≈ 381.703 cubic inches
Therefore, approximately 381.7 cubic inches of air is needed to fill the basketball.