VOLUME OF A SOLID OF REVOLUTION 29 Calculate the volume of the solid of revolution formed by revolving the region bounded by the curve y=e", and the lines y=e and x 0 through 27 radians about the y-axis.
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- Volume of a solid obtained by revolving about the x-axis the region below the graph of y=sin x cos x over the interval [0, pi/2].Find the volumes of the solids The solid lies between planes perpendicular to the x-axis at x = π/4 and x = 5π/4. The cross-sections between these planes are circular disks whose diameters run from the curve y = 2 cos x to the curve y = 2 sin x.The base of a certain solid is the region between the x-axis and the curve y = sin x, between x = 0 and x = π. Each plane section of the solid perpendicular to the x-axis is an equilateral triangle with one side in the base of the solid. Find the volume of the solid
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