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2012 AMC 10B Problem 17

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2012 AMC 10B Problem 17AMC 10 Step by Step
Name:                             Date: September 13, 2026
Solid Geometry · difficulty 3 of 5 · about 5 min · position P16-20

Jesse cuts a circular paper disk of radius 1212 along two radii to form two sectors, the smaller having a central angle of 120120 degrees. He makes two circular cones, using each sector to form the lateral surface of a cone. What is the ratio of the volume of the smaller cone to that of the larger?

  1. A)

    18\frac{1}{8}

  2. B)

    14\frac{1}{4}

  3. C)

    1010\frac{\sqrt{10}}{10}

  4. D)

    56\frac{\sqrt{5}}{6}

  5. E)

    55\frac{\sqrt{5}}{5}

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