For some integrals, you may wish to use the fact that \[\cos(2\alpha)=2\cos^2\!\alpha-1=1-2\sin^2\!\alpha\]
- A right circular cone has circular base of radius R and height H, both measured in feet.
- What is the volume of the cone?
- Write down as many different integrals as you can for computing this volume.
- Do at least two of these integrals.