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Given: the cycloid x=a (t- sin t),y = a (1- cos t), 0 le t le 2pi Compute. (a) the areas of the surface formed by revolving the arc OBA about the x and y-axis, (b) the volumes of the solids generated by revolving the figure OBAO about the y-axis and the axis BC, (c ) the area of the surface generated by revolving the are BA about the axis BC, (d) the volume of the solid generated by revolving the figure ODBEABO about the tangent line DE touching the figure at the vertex B, (e ) the area of the surface formed by revolving the are of the cycloid (see item (d)] |
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