I am hoping for some help with this question:
The curve $y=sinx$ where $0\leq x\leq \pi$ is revolved about the line $y=c$ where $0\leq c\leq 1$ to generate a solid
(a)Find a value of $c$ that minimizes the volume of the solid. What is the minimum volume? (b) What value of $c$ in $[0,1]$ maximizes the volume of the solid?