The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere.
Since the diameter of the basketball is given as 9 inches, the radius would be half of that, or 4.5 inches.
Plugging this into the formula, we get:
V = (4/3)(3.14)(4.5^3)
V ≈ (4/3)(3.14)(91.125)
V ≈ (4.75)(3.14)(91.125)
V ≈ 540.67 in.^3
Rounding to the nearest tenth, we get approximately 540.7 in.^3.
Therefore, the answer is not listed among the given options.
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.
A) 190.8 in.^3
B) 113 in.^3
C) 3,052.1 in.^3
D) 381.5 in.^3
1 answer