#volume of solid of revolution for a polar curve

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old siren
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Hihi! I'm trying to find the volume of solid of revolution for a cardioid and this is what I found online but I cant find the derivation for it, so can someone show how you'd derive this?

dim heartBOT
visual pecan
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Ahh you do an integral in spherical coordinates,

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One moment I'll draw a picture,

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And similar for y-axis but 90 degree rotated so cos instead of sin,

sage axle
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