<p>A truncated cone has horizontal bases with radii <img alt="$18$" height="13" src="https://latex.artofproblemsolving.com/5/e/7/5e7a1b6098a8c98b8e4adae526aeef4b91712620.png" width="17" /> and <img alt="$2$" height="12" src="https://latex.artofproblemsolving.com/4/1/c/41c544263a265ff15498ee45f7392c5f86c6d151.png" width="8" />. A sphere is tangent to the top, bottom, and lateral surface of the truncated cone. What is the radius of the sphere?</p>

Question No: 258

A truncated cone has horizontal bases with radii $18$ and $2$ . A sphere is tangent to the top, bottom, and lateral surface of the truncated cone. What is the radius of the sphere?

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Tags: Algebra Geometry

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