To find the volume of the solid obteained by rotating the region enclosed by the curys x=(y12)2, the x-axit, and the ravis abeut the x-aris, we use the cylindrical sheis mathod and rotite a vertical atrip oround the axaxis creating o cylinder with radius f= and height A A = . Theretore the valume cas be found from the integral V=2/0(1)dx: Ltter traluoting the intearal we find that