Consider the interior of the bowl as a stack of thin circles. At height h, the circle has area
πr^2 = π(16(h+1))
So integrate that from 0 to 2
A bowl is created with circular cross sections so that its radius (in cm) is a function of height (in cm) according to the equation r=4sqrt(h+1). Find the volume of soup that fills the bowl if the bow is 2 cm high.
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