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Problem 67 Medium Difficulty

Water in a bowl A hemispherical bowl of radius 8 inches is filled to a depth of $h$ inches, where $0 \leq h \leq 8(h=0$ corresponds to an empty bowl). Use the shell method to find the volume of water in the bowl as a function of $h$. (Check the special cases $h=0$ and $h=8 .)$

Answer

$\frac{\pi h^{2}}{3}(24-h)$

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Video Transcript

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