How much air is needed to fill a basketball with a diameter of 9 inches using 3.14 for pi

Answer 1

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.