MathProblemsBank

9.5.17 Volume of a solid

(a) Problem: Calculate the volume of the solid bounded by the given surfaces using a triple integral. Plot the drawings of the given solid and its projection on plane \( X O Y \). \[ x^{2}+y^{2}=2 y, \quad z=\frac{13}{4}-x^{2}, \quad z=0 \]