Art of Problem Solving

2005 AMC 12B Problems/Problem 16: Difference between revisions

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== Solution ==
== Solution ==
test
test
ter


== See also ==
== See also ==
* [[2005 AMC 12B Problems]]
* [[2005 AMC 12B Problems]]

Revision as of 18:24, 12 September 2010

Problem

Eight spheres of radius 1, one per octant, are each tangent to the coordinate planes. What is the radius of the smallest sphere, centered at the origin, that contains these eight spheres?

$\mathrm (A)\ \sqrt{2}  \qquad \mathrm (B)\ \sqrt{3}  \qquad \mathrm (C)\ 1+\sqrt{2}\qquad \mathrm (D)\ 1+\sqrt{3}\qquad \mathrm (E)\ 3$

Solution

test ter

See also