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2020 AMC 10B Problem 10

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2020 AMC 10B Problem 10AMC 10 Step by Step
Name:                             Date: September 13, 2026
Solid Geometry · difficulty 2 of 5 · about 3 min · position P1-10

A three-quarter sector of a circle of radius 44 inches together with its interior can be rolled up to form the lateral surface area of a right circular cone by taping together along the two radii shown. What is the volume of the cone in cubic inches?

figure

  1. A)

    3π53\pi \sqrt5

  2. B)

    4π34\pi \sqrt3

  3. C)

    3π73 \pi \sqrt7

  4. D)

    6π36\pi \sqrt3

  5. E)

    6π76\pi \sqrt7

Working