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Volume of Solids of Revolution — Disk and Washer Methods
Disk: V = π∫[a,b] [f(x)]² dx. Washer: V = π∫[a,b] ([R(x)]² − [r(x)]²) dx.
CalculusCommon Core CHA-5.BFUNVerified correct ✓
Worked examples
The region bounded by y = √x, x = 2, and y = 0 is revolved about the x-axis. Use the disk method to find the volume. Round to 4 decimal places. Answer: 6.2832
The region bounded by y = √x, x = 4, and y = 0 is revolved about the x-axis. Use the disk method to find the volume. Round to 4 decimal places. Answer: 25.1327
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