Answer :
The volume of the sphere is 267.95 in³. Option A is the correct answer.
The formula for the volume of a sphere is given by V = (4/3)πr³, where "r" is the radius of the sphere.
Given the options, we need to find the radius that corresponds to the given volume. Let's check each option:
a. Volume = (4/3)πr³ = 267.95 in³ => Solve for r: r³ = (3/4) * (267.95 / π) => r ≈ 5.0 inches
b. Volume = (4/3)πr³ = 200.96 in³ => Solve for r: r³ = (3/4) * (200.96 / π) => r ≈ 4.3 inches
c. Volume = (4/3)πr³ = 66.99 in³ => Solve for r: r³ = (3/4) * (66.99 / π) => r ≈ 2.4 inches
d. Volume = (4/3)πr³ = 150.72 in³ => Solve for r: r³ = (3/4) * (150.72 / π) => r ≈ 3.6 inches
Comparing the calculated radii to the options, the volume of the sphere is indeed closest to 267.95 in³. Option A is the correct answer.
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