Question: A solid rod of radius 1 cm is placed in a pipe of radius 3 cm so that their axes are aligned. Water flows through

A solid rod of radius 1 cm is placed in a pipe of radius 3 cm so that their axes are aligned. Water flows through the pipe and around the rod. Find the flow rate if the velocity of the water is given by the radial function v(r) = 0.5(r − 1)(3 − r) cm/s.

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