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The circle is $\"\"$ .

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$\"\"$

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Solve for $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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The cross-section of the circle at a given value of $\"\"$ goes from $\"\"$ to $\"\"$ .

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The volume is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Evaluate the integral $\"\"$ using trig substitution method:

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$\"\"$

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$\"\"$

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$\"\"$

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If $\"\"$ , then $\"\"$ .

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If $\"\"$ , then $\"\"$ .

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$\"\"$ $\"\"$

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$\"\"$

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$\"\"$

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Apply the formula: $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ .