Difference between revisions of "2004 AMC 10A Problems/Problem 25"

Latest revision as of 17:19, 4 December 2007

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-==Problem==
+#redirect [[2004 AMC 12A Problems/Problem 22]]
-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?
-<math> \mathrm{(A) \ } 3+\dfrac{\sqrt{30}}{2} \qquad \mathrm{(B) \ } 3+\dfrac{\sqrt{69}}{3} \qquad \mathrm{(C) \ } 3+\dfrac{\sqrt{123}}{4} \qquad \mathrm{(D) \ } \dfrac{52}{9} \qquad \mathrm{(E) \ } 3+2\sqrt{2}  </math>
-==Solution==
-{{solution}}
-==See also==
-[[2004 AMC 10A Problems]]
-{{AMC10 box|year=2004|ab=A|num-b=24|after=Last Problem}}