Science:Math Exam Resources/Courses/MATH200/December 2011/Question 08 (a)/Hint 1

The volume of the snowman is the volume of the body $\displaystyle V_{b}$, the volume of the head $\displaystyle V_{h}$ minus the volume of the intesection $\displaystyle V_{i}$.

The hardest part is to find $\displaystyle V_{i}$. To do so, we need to solve a triple integral.

To find the boundaries for this triple integral, we make a sketch of the situation: