Applications of Integration

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7. t The base of a solid is the circle a:2 + y2 =16. Find the volume of the solid given that the cross sections perpendicular to the y axis are squares. 8. Sketch the region bounded h_\\_' the following curves: y 2 21:3. y = 16\"? = 0. Find the volume of the solid generate by revolving that hounded region about. the y-axis. 9. 9. Let R be the region bounded by the following curves: y = VI, T = 8, y = 0. (a) Sketch the region and label the vertices of R. Set up the integration to find the volume of the solid generated by revolving R around: (b) the x-axis:(c) the y-axis: (d) the line x 8: (e) the line y = 3:10. l 10. Find the are length of the following curve by integrating with respect to I: y : 5 (1fT +171) 0n the interval [7111(2),111(2)]