Question

Calculus1 question on the photo.

Answer 1

2π

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