Question: For the region bounded by y= x - 1, the x-axis, and y-axis, determine which of the following is greater: the volume of the solid




For the region bounded by y= x" - 1, the x-axis, and y-axis, 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 x as needed.) When the region is revolved about the y-axis, the volume is (Type an exact answer, using x as needed.) Which volume is greater? O A. The volume about the x-axis is greater. O B. The volumes are equal. O C. The volume about the y-axis is greater.For the region bounded by y = 3x, the x-axis, and x = 3, 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 x as needed.) When the region is revolved about the y-axis, the volume is (Type an exact answer, using x as needed.) Which volume is greater? O A. The volumes are equal. O B. The volume about the x-axis is greater. O C. The volume about the y-axis is greater
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