The radius of the cylinder's base is 8, so the volume of the cylinder is [tex]\pi8^218\approx3617.28[/tex] (using the approximation of [tex]\pi\approx3.14[/tex]).
The sphere has radius 6, so the volume of the sphere is [tex]\dfrac43\pi6^3\approx904.32[/tex].
The volume of the shaded region is the difference between the two: 3617.28 - 904.32 = 2712.96. Rounded to the nearest integer gives an answer of 2713.
