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. Please round your answer to the nearest tenth.
The formula for the volume of a sphere is V = (4/3) * pi * r^3, where r is the radius of the sphere.
Given that the diameter of the basketball is 9 inches, the radius (r) is half of the diameter, so r = 9 / 2 = 4.5 inches.
Now plug in the values into the formula:
V = (4/3) * 3.14 * (4.5)^3
V ≈ (4/3) * 3.14 * 91.125
V ≈ 381.708 cubic inches
Rounding to the nearest tenth, the amount of air needed to fill the basketball is approximately 381.7 cubic inches.
nope incorrect
I apologize for the mistake. Let's correct it:
Given that the diameter of the basketball is 9 inches, the radius (r) is half of the diameter, so r = 4.5 inches.
Now plug in the values into the formula:
V = (4/3) * 3.14 * (4.5)^3
V = (4/3) * 3.14 * 91.125
V = 4.1867 * 91.125
V ≈ 381.7 cubic inches
Rounding to the nearest tenth, the amount of air needed to fill the basketball is approximately 381.7 cubic inches.