CAYLEY 2002 Problem 24

A cylinder, which has a diameter of 27 and a height of 30, contains two lead spheres with radii 6 and 9, with the larger sphere sitting on the bottom of the cylinder, as shown. Water is poured into the cylinder so that it just covers both spheres. The volume of water required is

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Answer Choices
A. 3672\pi
B. 3660\pi
C. 3375\pi
D. 3114\pi
E. 4374\pi