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P Do Homework - Adam Horvath - Google Chrome Secure | https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkid=451166096&questionid;=2&flushedzfalse;&cId;=4726715¢erwin;=yes Math 112-001 Barreto Adam Horvath 9/9/17 2:51 PM Homework: Section 6.1, Part 1 Save Score: 0 of 1 pt 4018 (3 complete) HW Score: 37.5%, 3 of 8 pts Question Help Find the volume of the solid generated by revolving the shaded region about the y-axis x-3 tany 3.5 The volume of the solid generated by revolving the shaded region about the y-axis is (Type an exact answer, using as needed) Enter your answer in the answer box and then click Check Answer All parts showing Clear All Check AnswerExplanation / Answer
for the volume of solid generated by revolving the shaded region about the y axis
using disk/washer method:
outer radius=3tan((/3)y)
inner radius=0
volume of solid =[0 to 1][(3tan((/3)y))2-(0)2] dy
volume of solid =[0 to 1]9(tan((/3)y))2 dy
volume of solid =[0 to 1]9[(sec2((/3)y)) -1] dy
volume of solid =[0 to 1]9[((3/)tan((/3)y)) -y]
volume of solid =9[((3/)tan(/3)) -1] -9[((3/)tan0) -0]
volume of solid =9[((3/)3) -1] -0
volume of solid =9((33 -)/)
volume of solid =9(33 -) or (273 -9)
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