Three mutually tangent spheres of radius 1 rest on a horizontal plane. A sphere of radius 2 rests on them. What is the distance from the plane to the top of the larger sphere?
Answer Choices
A. 3+\dfrac{\sqrt{30}}{2}
B. 3+\dfrac{\sqrt{69}}{3}
C. 3+\dfrac{\sqrt{123}}{4}
D. \dfrac{52}{9}
E. 3+2 \sqrt{2}