MAC 2312 Midterm: MAC2312 C08 Test 1
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Instructions: write your complete solutions on this paper. No graphing calculator is allowed to be used. To receive credit, you must show all work. You are not required to simplify your answers. Assume all physical units (length, force, etc. ) are in the mks system, hence are compatible. (1) (30 pts. ) Find y, the y-coordinate of the centroid of r. (d) find my, the moment of r about the y-axis. Find x, the x-coordinate of the centroid of r. A tank has the shape of a right circular cone of height h = 20. The circular top is horizontal and has radius r = 6. Assume the tank is lled completely with a liquid of density. Set up an integral for the work required to pump the liquid to a level. D = 10 above the top of the tank. Do not evaluate the integral. r = 6.