Let be the solid obtained by revolving the region under on about the -axis

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let SLS_L be the solid obtained by revolving the region under y=xy=x on [0,L][0,L] about the xx-axis. Let S2LS_{2L} be the solid obtained by revolving the region under the same curve on [0,2L][0,2L] about the xx-axis. By what factor is the volume of S2LS_{2L} greater than the volume of SLS_L? (a) 66 (b) 88 (c) 44 (d) 22

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