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A right circular cone has circular base of radius R and height H, both measured in feet.
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What is the volume of the cone?
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Write down as many different integrals as you can for computing this volume.
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Do at least two of these integrals.
For some integrals, you may wish to use the fact that
\[\cos(2\alpha)=2\cos^2\!\alpha-1=1-2\sin^2\!\alpha\]
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