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    Volumes of Solids of Revolution and Sketches of Bounded Regions

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    Sketch the given region and then find the volume of the solid whose base is the given region and which has the property that each cross section perpendicular to the x-axis is a square.

    2) the region bounded by the x-axis and the semi circle y = SQRT (16-x^2).

    Sketch the given region and then find the volume of the solid whose base is the given region and which has the property that each cross section perpendicular to the x-axis is an equilateral triangle.

    6) the region bounded by the curves y=x^3 and y=x^2.

    Sketch the given region and then find the volume of the solid whose base is the given region and which has the property that each cross section perpendicular to the x-axis is a semicircle.

    10) the region bounded by y=cosx, below by y=sinx, and on the left by the y axis.

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    https://brainmass.com/math/geometry-and-topology/volumes-solids-revolution-sketches-bounded-regions-50425

    Solution Summary

    Volumes of solids of revolution and sketches of bounded regions are investigated and discussed. The solution is detailed and well presented.

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