Question

(a) Find the volume of the solid generated by revolving the region bounded by the graphs of the given equations about the x-axis. y = 0, y= x= 1, x=2 (b) Find the volume of the solid generated by revolving the region from part (a) about the line x = 3.

Answer 1

@ y=11424=0, x=1,x=2 6 AY Palume about x=3be sat ja W0 420 (0,0) con la tox x=1 x=4 1 volume = $[03-13-13-4212 ]dx volume = aj? [4–13-1a*]dx v=a82(4-9-4/22+6%) dx v=*[6dn62) + 4-5x]? vex [6 ln2 4-1) 454R-5)] v=x[6lM2-1/2-5 v=A[Gn2-1172]44.213 + v=[xy2.02 dx=1$ xxche A[24]}=-*11-12 12 v= v= *(1-1₂] = 72 - Ans _