A right hexagonal prism is inscribed in a right circular cylinder of height 20. The difference between the area of the circular base of the cylinder and the perimeter of the hexagonal base of the prism is 4. Compute the volume of the prism.

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
Section9.1: Prisms, Area And Volume
Problem 16E: For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and...
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A right hexagonal prism is inscribed in a right circular cylinder of height 20. The difference between the area of the circular base of the cylinder and the perimeter of the hexagonal base of the prism is 4. Compute the volume of the prism.
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