GRE Problem Solving Question 886

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The figure above is a cube with edges of length 9. Points C and D lie on diagonal AB such that points A, C, D, and B are equally spaced. As shown, a right circular cylindrical hole is cut out of the cube so that segment CD is a diameter of the top of the hole. What is the volume of the resulting figure?

  • A 729 – 162
  • B
  • C 729 – 81π
  • D 729 – 9π
  • E 729

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