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Section 53 7. The conical container in Fig. 18 is filled with loose grain which weighs 40 pounds/fts. Show work. (a) How much work is done lifting _|_|__g_f the grain over the top of the cone? (b) lifting the top 2 feet of grain over the top of the cone? 8!} a: Fig. 18 Section 54 9. Divide the flat plate in Figure 20 into rectangles, calculate the mass, moments and centers of mass of each piece, and use those results to find the center of mass of the plate. Assume that the density of the plate is 1 g/cmZt Plot the location of the center of mass for each shape. (Show work) 7 6 l 34 6 Fig. 20 10. Sketch the region bounded between V = x2 and the xaxis for 2 5 x S 2. Calculate the centroid of each region (use Simpson's rule with n = 20 if necessary). Plot the location of the centroid on your sketch of the region. (Show work, if you use a spreadsheet like Microsoft Excel, attach a printout of the formula view by " (1:1 + ' " )