Find the exact volume of the solid formed by revolving the region enclosed by the following functions around the x-axis. Specify whether you are using.

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Presentation transcript:

Find the exact volume of the solid formed by revolving the region enclosed by the following functions around the x-axis. Specify whether you are using disks or washers.

Find the exact volume of the solid formed by revolving the region enclosed by the following functions around the y-axis. Specify whether you are using disks or washers.

WITHOUT USING CALCULUS: Find the exact volume of the solid formed by revolving the region enclosed by the following functions around the y-axis. Your work must show that you did not use integrals.

Suppose that the exact volume of the solid formed be revolving the following functions around the x axis is 3 π. Find the value of b that makes this true.

Find the exact volume of the solid formed by revolving the triangle with vertices (1, 0), (2, 1), and (1, 1) around the y-axis.

Find the exact volume of the solid formed by revolving the region enclosed by the following functions around the y-axis. Hint: You will have to divide the solid into two parts

Find the exact volume of the solid formed by revolving the region enclosed by the following functions around the x-axis. Specify whether you are using disks or washers.