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Three mutually, tangent spheres of radiu...

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?

A

`3 + ( sqrt30)/(2)`

B

`3 + (sqrt69)/(3)`

C

`3 + (sqrt123)/(4)`

D

`(52)/(9)`

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The correct Answer is:
B
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