What is the volume of the solid generated by revolving about the x-axis from to ?
Answer and explanation
Correct answer: B.
- Step 1: Apply disk method formula: .
- Step 2: Substitute : .
- Step 3: Integrate: .
- Step 4: Evaluate: .
Answer
8pi.
Why not the others: '' divides by 4; '' forgets to divide by 2; '' uses sphere volume formula.
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