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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.