axes are drawn in the usual way). 69. Find the center of mass of the hemisphere $x^2 + y^2 + z^2 = a^2$, $z \ge 0$, if it has constant density.
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The equation of the hemisphere is given by $x^2 + y^2 + z^2 = a^2$ with $z \ge 0$. Since the density is constant, let's denote it by $\rho$. The volume of the hemisphere is given by $V = \frac{2}{3}\pi a^3$. Show more…
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