For the region bounded by y=x, the x-axis, and x = 4, determine which of the following is greater: the volume of the solid generated when the region is revolved about the x-axis or about the y-axis. When the region is revolved about the x-axis, the volume is (Type an exact answer, using as needed.) When the region is revolved about the y-axis, the volume is (Type an exact answer, using as needed.) Which volume is greater? O A. The volume about the x-axis is greater. OB. The volumes are equal. OC. The volume about the y-axis is greater.

For the region bounded by y=x, the x-axis, and x = 4, determine which of the following is greater: the volume of the solid generated when the region is revolved about the x-axis or about the y-axis. When the region is revolved about the x-axis, the volume is (Type an exact answer, using as needed.) When the region is revolved about the y-axis, the volume is (Type an exact answer, using as needed.) Which volume is greater? O A. The volume about the x-axis is greater. OB. The volumes are equal. OC. The volume about the y-axis is greater.

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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