Answer:
2π
Step-by-step explanation:
The revolved volume is hollow, so use washer method. If we cut a thin, vertical slice, its volume is:
dV = π [ (cosh x)² − (sinh x)² ] dx
dV = π dx
Integrate between x=0 and x=2 to get the total volume.
V = ∫ dV
V = ∫₀² π dx
V = π x |₀²
V = 2π
