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OpenStudy (anonymous):
A right circular cone has height h and base radius a. It is aligned along the positive z−axis, opening upward with its vertex at the origin. We wish to find the centroid of the cone. By symmetry, x and y are both 0. Use cylindrical coordinates to calculate M, Mxy and z. [HINT: first assume the cone is z = Asqrt(x^2 + y^2), then use the given dimensions to determine A in terms of a and h.]
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