Section 15.6: Triple Integration
Exercise 41
Find the mass and center of mass of the solid E with the given density function \(\rho\). E is the cube given by \(0 \le x \le a, 0 \le y \le a, 0 \le z \le a\); \(\rho(x, y, z) = x^2 + y^2 + z^2\).
Find the mass and center of mass of the solid E with the given density function \(\rho\). E is the cube given by \(0 \le x \le a, 0 \le y \le a, 0 \le z \le a\); \(\rho(x, y, z) = x^2 + y^2 + z^2\).