MathProblemsBank

i.5.37 Volume of a solid

Condition: Using a triple integral, calculate the volume of a body bounded by the specified surfaces using cylindrical or spherical coordinates. Make a drawing. \[ \begin{array}{l} z=x+y, \quad\left(x^{2}+y^{2}\right)^{2}=2 x y, \quad z=0 \\ x>0, \quad y>0 \end{array}\]

-> Volume of a solid