
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 \( X O Y \).
\[
x^{2}+y^{2}=2 y, \quad z=\frac{13}{4}-x^{2}, \quad z=0
\]