Let B be the solid whose base is the circle x? + y² = 289 and whose vertical cross sections perpendicular to the x-axis are equilateral triangles. Compute the volume of B. (Use symbolic notation and fractions where needed.)

Let B be the solid whose base is the circle x? + y² = 289 and whose vertical cross sections perpendicular to the x-axis are equilateral triangles. Compute the volume of B. (Use symbolic notation and fractions where needed.)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 21CR: Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5...

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Question

Let B be the solid whose base is the circle x? + y² = 289 and whose vertical cross sections perpendicular to the x-axis are
equilateral triangles. Compute the volume of B.
(Use symbolic notation and fractions where needed.)

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