Solid of Revolution
Washer method about y-axis
Outer radius: R = π/2
Inner radius: r(y) = arcsin(y)
A(y) = π[(π/2)² − arcsin²(y)]
V = π∫₀¹[(π/2)²−arcsin²(y)]dy
= π[π²/4 − (π²/4−2)]
= 2π ≈ 6.2832
■Outer surface (x = π/2)
■Inner surface (x = arcsin(y))
■Sample washer cross-sections
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