20 Find the volume of the solid that is generated when the given region is revolved as described, The region bounded by t(x)= sinx and the x-axis on [0.1:] is revolved about the y-axis The volume is (Type an exact answer) Qt Find the volume of the solid that is generated when the given region is revolved as described, The region bounded by [(x): c" and the x-axis on [0,ln 15] is revolved about the line X : In 15 The volume is (Type an exact answer) 22 Let R be the region bounded by y : sin x and the xeaxis on the interval [0,1:], Which is greater) the volume of the solid generated when R is [evolved about the yraxis or the volume of the solid generated when R is revolved about the xraxis'P The volume at the solid generated when R is revolved about the y-axis is (Type an exact answer.) The volume at the solid generated when R is revolved about the xraxis is (Type an exact answer) Which is greater the volume ofthe solid generated when R is revolved about the yeaxis or the volume of the solid generated when R is revolved about the xraxis'? O veaxis O xeaxis 23 Find the volume of the solid generated when the region bounded by the graph of y: cosx and the xraxis on the interval [ 21:, 1:] is revolved about the xraxis The described volume is cubic units (Type an exact answer, using 1: as needed ) 24. Consider the function f(x) = 2 (4 + x2) -1/2 and the region R on the interval 0, $ ]. See the figure to the right. 1.2- a. Find the area of R. b. Find the volume of the solid generated when R is revolved about the x-axis. 0.6- c. Find the volume of the solid generated when R is revolved about the y-axis. R O N- a. The area of R is square units. (Type an exact answer.) b. The volume of the solid generated when R is revolved about the x-axis is cubic units. Type an exact answer in terms of It.) c. The volume of the solid generated when R is revolved about the y-axis is cubic units. (Type an exact answer in terms of It.) 25. Find the volume of the described solid of revolution or state that it does not exist. The region bounded by f(x) = (x - 2) and the x-axis on the interval (2,5] is revolved about the x-axis. Find the volume or state that it does not exist. Select the correct answer and, if necessary, fill in the box to complete your choice. O A. The volume is cubic units. (Type an exact answer.) O B. The volume does not exist.m's &TT ( In ( 15 ) - x) edx D - 2 17 ( in #15) +2-m( 15) - 2 ) - 11 . 150 8 90 R Vy - 271 Vx = nik 2 y-aris is greater than n-amys . ( 9) Area = 2 ( sec (0. 9 2 7 3 ) + tan (0, 9273) = 2. 1972 8 /3 2 ( b) Vx - n ( 2 (utx 2) - 7/ 2 ) dx 813 8/3 8 / 3 = QTT ( tan " (269)) - tan'(210)] = 2TT ( 2. 2143 ) 8/3 5 4. 4286 TT 2 Tix ( 2 ( 4 + x 2 ) /2 ) x 161/3 - 16.755