The region in the gure is revolved about the indicated axes and line. Find the volumes of the resulting solids and then order them from least to greatest. (a) Xaxis (b} yaxis Order the volumes from least to greatest. m Here os y c ( y ) 2/5 cross sectional area Aly ) = " J( ( y = 4 / 2 ( 4 ) 2 . . volume = Tel ly ( y ) 2/5 = TT / /4 + 16 - 8 57 2 ) dy 0 4 45 25 TT 6 45 7/2 + 16/ - 8 6 = 7 /2 (4) " 12 / 5 25 - 16 ( 4 ) 7/5 7 52. 09 I a 08 14.58 5 21. 16 5 52 . 09if x = y - ) y = ( 4 ) 2/5 osys ( 4 ) 15 and 2 45 = 4 5 x = y 5 /2 ; Area = Aly ) = TT / ( y ) 5/2 7 2 ( 4 ) 25 volume = TT . ys dy 215 6 y = TO ( 4 45 ) 6 = (y 5 6 6 14.58 ( ) x= y 25 y = x - - - 7 x