How much air is needed to fill a basketball with a diameter of 9 inches using 3.14 for pi
To calculate the amount of air needed to fill a basketball with a diameter of 9 inches, we first need to find the volume of the basketball.
The volume of a sphere can be calculated using the formula:
V = 4/3 * π * r^3,
where V represents the volume and r represents 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 inches / 2 = 4.5 inches.
Now, substituting the value of the radius into the formula:
V = 4/3 * 3.14 * (4.5 inches)^3,
V ≈ 4/3 * 3.14 * (91.125 inches^3),
V ≈ 4 * 3.14 * 303.375 inches^3,
V ≈ 3813.36 inches^3.
Therefore, the air needed to fill the basketball is approximately 3813.36 cubic inches.