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2001 AMC 10 Problem 21

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2001 AMC 10 Problem 21AMC 10 Step by Step

Name: Date: September 13, 2026

Solid Geometry · difficulty 3 of 5 · about 4 min · position P21-25

A right circular cylinder with its diameter equal to its height is inscribed in a right circular cone. The cone has diameter $10$ and altitude $12$ , and the axes of the cylinder and cone coincide. Find the radius of the cylinder.

A)
$\frac{8}3$
B)
$\frac{30}{11}$
C)
$3$
D)
$\frac{25}{8}$
E)
$\frac{7}{2}$

2001 AMC 10 Problem 21

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