AM-2010

Connected rates of change

A Math · Secondary 4 · Hard · Connected rates of change

Water flows into a cylindrical tank so that its volume

V

\text{m}^3

increases at a constant rate of

0.6\,\text{m}^3\,\text{min}^{-1}

. The radius of the tank is

2\,\text{m}

. Find the rate of increase of the water depth

h

\text{m}\,\text{min}^{-1}

. (Use

V=\pi r^2h

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