MathProblemsBank

I.11.21 Triple Integrals

Condition: Find the body weight of the density \ (\ rho \), limited by these surfaces. Parameter A is positive. \ [\ begin {array} {l} x^{2}+y^{2}+z^{2} = a^{2}, \ quad x^{2}+y^{2} = z^{2}, \\\, \\\, \\\, \\\, \\\, \\\ \ rho = \ sqrt {x^{2}+y^{2}+z^{2}}. \ end {Array} \]