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2004 AMC 10A Problem 25

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2004 AMC 10A Problem 25AMC 10 Step by Step

Name: Date: September 13, 2026

Solid Geometry · difficulty 4 of 5 · about 6 min · position P21-25

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)
$3 + \frac {\sqrt {30}}{2}$
B)
$3 + \frac {\sqrt {69}}{3}$
C)
$3 + \frac {\sqrt {123}}{4}$
D)
$\frac {52}{9}$
E)
$3 + 2\sqrt2$

2004 AMC 10A Problem 25

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