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Consider the equation x + y + (Rz/H) = R. If we have two solids with the same radius R and height H, one

     
 
 
 
 
 

Consider the equation x + y + (Rz/H) = R. If we have two solids with the same radius R and height H, one with density d(x, y, z) = 1 and the other with density 8(x, y, z) = 2x + y, which values of R, H will ensure that they both have the same mass? The answer to this question will be a relation involving R, H. For which values of R, H will the second solid have bigger mass? Choose positive values for R, H, so that the two solids have the same mass. Plot the body with the centroid in red.

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