Question

(Setup Only) 2) A tank is created by revolving the enclosed region below about the y-axis. The tank is filled with a liquid of weight-density 70 lb/ft?. (2.4) o Setup the integral that would give the work done in pumping the liquid to a height 3 ft. above the top of the tank. (Setup Only) o Give the units the answer would have.

Answer 1

sel- So, if the y-axis, a enclosed region is notated about Corice tank will be formed 2 ft. na4 fit- dh. fact The added difficulty here resut from the as the height through which each lifted changes, so does the radius change. This, we will integrade. disc is Using Similar Triangles 4 2 th-2x 2 Force (Density) (Area of Disc) Cheight of Disc) - f. (ar² (dh) And he water that is getting pumped distance of (nth). out, will travel a

So, Wolk Done Sf. (Disp.). Sg.ne2.cn-hl.dh. As water is to be pumped to 3 ft. from the top sul face ) 4-3=1 1 Sf.n. (2) 2 (4-2) dh. So, wolk 70 ñ (4-h.h? dh. Y Done L Aus. Integed.