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The conical tank in problem #4 is full of a liquid which has a density of .

/in /by

#5) The conical tank in problem #4 is full of a liquid which has a density of . How much work is done lifting the water to a distance 2h above the top of the cone? (similar to 5.3 #12) Hint: Put the origin of your x-y coordinates at the vertex of the cone. With this coordinate system, the water lies between y = 0 and y = h. The water is pumped to a height of y = 3h. Express your answer in terms of ρg, h, r, and π.

#9) Given function

FinalQ9.jpg

a. Make a graph of the function.

Compute the centroid.

b. Compute M

c. Compute My.

d. Compute xc (the x centroid)

e. Compute Mx.

f. Compute yc (the y centroid)

g. Plot the centroid on your graph.

Does your computed centroid look like it at the center of mass of your graph? (yes or no)

 
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