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Previous Problem List Next (1 point) A cone is to be built from stone so that it has height 10 feet and a base with radius 3. (The base of the cone will lie on the floor.) Suppose the density of the stone used to make the cone is 70 lb/ft?. Calculate the work required to build the cone from the ground up. Work = (include units) Preview My Answers Submit Answers

Answer 1

CD consider a slice of radius r and thickness dy y from bottom. 4294 a distance Woykdone a=3. to assemble this slice AW= Afy - Tohdy sy Hoy r 01. AW Ta (Hb) ² dy. sy 90. CHry) ] Total workdone H wa To 2. H2 s JCH-2ny do foton 0 Ta 2 H2 (14² - 249 ²t43) dy 10 To 2 پی 4 #2 P[ 44 24 (3) X (10) x 70 2355 (10) 12 Ib. et cube, workdone to assemble slice 4W = Lb.dy. P. - Lb dy. (2.5 -2) form whole Workdone to cube H wa Lb 6/(2.5-2)) do = 16. [ 2.57 1.5 1589 x 2.5x11.5)2 * [ (1 min) 2 227.81 (b. ft.