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20.Compute the volume of the solid formed by revolving the region bounded by 2yxand2xyabout (a) the
26.Let Rbe the region bounded by 2yxand y= 4. Compute the volume of the solid formed by revolving Rabout the given line.(a)y= 4(b) the y-axis(c) y= 6(d) y= –2(e) x= 2(f) x= –4,4481 62 5 62 5 65 1 281 651 51 51 5Vrd xrxVxd xxxd xxxVxx
c. d. 2 2 0 2 2 2 2 2 2 2 2 2 4 2 2 2 2 5 3 15 15 2 2 2 4 ( 2) 6, ( 2) 2 6 2 36 4 4 4 376 376 36 4 72 72 5 3 15 15 2160 752 1408 15 15 15 i r r x x V dx x dx V dx x x dx x x V x x V     e. WA 1, p. 8 2 2 2 2 2 2 2 2 2 2 42 2 2 2 53 2 2 2 6 ,642 62 12364 12 364 53 232232384 88 55 5 o i rxr Vxdxdx Vxxd xd x xx Vxx V                          3 3 2 2 4 4 2 2 0 0 4 4 0 0 4 4 2 2 0 2 , 2 (2 ) (2 ) 4 4 ( 4 4) 8 8 4 4 2 3 2 3 136 8 128 3 3 3 o i o r yr y V ydy ydy V y y dy y y dy y y y y V y y V                        
32.Suppose that the circle 221xyis revolved about the y-axis. Show that the volume of the resulting solid is .