MathDB
Cylinder in Cone

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January 1, 2009
geometry3D geometry

Problem Statement

A right circular cylinder with its diameter equal to its height is inscribed in a right circular cone. The cone has diameter 10 10 and altitude 12 12, and the axes of the cylinder and cone coincide. Find the radius of the cylinder. <spanclass=′latex−bold′>(A)</span> 83<spanclass=′latex−bold′>(B)</span> 3011<spanclass=′latex−bold′>(C)</span> 3<spanclass=′latex−bold′>(D)</span> 258<spanclass=′latex−bold′>(E)</span> 72 <span class='latex-bold'>(A)</span>\ \frac83 \qquad <span class='latex-bold'>(B)</span>\ \frac{30}{11} \qquad <span class='latex-bold'>(C)</span>\ 3 \qquad <span class='latex-bold'>(D)</span>\ \frac{25}{8} \qquad <span class='latex-bold'>(E)</span>\ \frac{7}{2}
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