gh For this assignment, you submit answers by question parts. The number of subm

Question

gh For this assignment, you submit answers by question parts. The number of submissions remaining for each question partonly changes f you submit or change the answer. Assignment Scoring Your last submission is used for your score. 7. 1.33 points 6 7,3.030.MI My Notes O Ask Use the disk method or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. 10 x=1 x=5 (a) the x-axis (b) the y-axis (c) the line y 10 Submit Answer Save Progress

Explanation / Answer

(a)

using disk method:
radius=10/x2

volume about x-axis =[1 to 5](10/x2 )2dx

volume about x-axis =[1 to 5](100/x4)dx

volume about x-axis =|[1 to 5](-100/3x3)

volume about x-axis =[(-100/3*53)-(-100/3*13)]

volume about x-axis =496/15 exactly

volume about x-axis =103.88approximately

(b)

using shell method:
radius of shell=x
height of shell =10/x2

volume about y-axis =[1 to 5]2x(10/x2 ) dx

volume about y-axis =[1 to 5]20(1/x) dx

volume about y-axis =|[1 to 5]20 ln(x)

volume about y-axis =20(ln(5) -ln(1))

volume about y-axis =20(ln(5) -0)

volume about y-axis =20 ln(5) exactly

volume about y-axis =101.12 approximately

(c)

using disk method:
inner radius=10-(10/x2)
outer radius =10

volume about y=10 is =[1 to 5][102-(10-(10/x2))2]dx

volume about y=10 is =[1 to 5]100[1-(1-(1/x2))2]dx

volume about y=10 is =[1 to 5]100((2/x2)-(1/x4))dx

volume about y=10 is =|[1 to 5]100(-(2/x)+(1/3x3))

volume about y=10 is =100[(-(2/5)+(1/3*53))-(-(2/1)+(1/3*13))]

volume about y=10 is =100[(-(2/5)+(1/375))-(-2+(1/3))]

volume about y=10 is =1904/15exactly

volume about y=10 is =398.7 approximately

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