Final answer:
The volume of the spherical cap, with a sphere radius of 6 inches and cap height of 2 inches, calculated using the formula for a spherical cap's volume is 21.333\u03c0 cubic inches, which does not match any of the provided options.
Step-by-step explanation:
The volume of a spherical cap can be calculated using the formula V = (1/3)\u03c0h²(3R - h), where R is the radius of the sphere and h is the height of the cap. In this case, since the radius R is 6 inches and the height h of the cap is 2 inches, the formula becomes V = (1/3)\u03c0(2²)(3\u00d76 - 2). Substitute the values to get V = (1/3)\u03c0(4)(18 - 2) = (1/3)\u03c0(4)(16), which calculates to V = (64/3)\u03c0 cubic inches, which simplifies to V = 21.333\u03c0 cubic inches. This result is not listed in the provided options, which suggests a possible error in the question or answer choices.