Washer volume
Rotate the region under y=sqrt(x), 0<=x<=4, about the x-axis. V=pi integral_0^4 (sqrt(x))^2 dx.
- Radius is sqrt(x).
- Square the radius in the washer formula.
- Integrate x.
area, volume, average value, and net change
Rotate the region under y=sqrt(x), 0<=x<=4, about the x-axis. V=pi integral_0^4 (sqrt(x))^2 dx.
Pause. Find what matters. Then make your move.