In this lesson, we will learn how to find the volume of a solid generated by revolving a region around either a horizontal or a vertical line using integration.
Students will be able to
Q1:
Consider the region bounded by the curves π¦=π₯+4, π¦=0, π₯=0, and π₯=3. Determine the volume of the solid of revolution created by rotating this region about the π₯-axis.
Q2:
Find the volume of the solid obtained by rotating the region bounded by the curve π¦=βπ₯+1 and the lines π¦=0 and π₯=4 about the π₯-axis.
Q3:
Consider the region bounded by the curve π¦=5πο±ο¨οο‘ and the lines π¦=0, π₯=β4, and π₯=4. Set up an integral for the volume of the solid obtained by rotating this region about the π₯-axis.
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