(Solved): Use spherical coordinates to find the mass of the solid in the first octant between the spheres \( ...

Use spherical coordinates to find the mass of the solid in the first octant between the spheres \( x^{2}+y^{2}+z^{2}=36 \) and \( x^{2}+y^{2}+z^{2}=25 \), if the mass density at any point is inversely proportional to its distance from the origin. (Use symbolic notation and fractions where needed. Use \( k \) as the constant of proportionality.) \( M \) Use spherical coordinates to integrate \( f(x, y, z)=4 \sqrt{x^{2}+y^{2}+z^{2}} \) over the solid \( E \) above the cone \( z=-\sqrt{3 x^{2}+3 y^{2}} \) and inside the sphere \( x^{2}+y^{2}+z^{2}=81 \) (Use symbolic notation and fractions where needed.) \[ \iiint_{E} 4 \sqrt{x^{2}+y^{2}+z^{2}} d V= \]