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ACT® Math

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Difficult

Cross-Sectional Area

ACTMAT-K7LO1V

A knife slices perfectly through a spherical ball of cheese of radius 8 inches, 6 inches above the center (see the figure below).

What is the area of the circular base (shaded in the figure) of the top piece when removed?

A

$ 4\pi $

B

$ 16\pi $

C

$ 18\pi $

D

$ 64\pi $

E

$ 100\pi $