AM-2026

Connected rates of change

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

Water is poured into a conical tank so that the volume of water

V\,\text{cm}^3

is given by

V=\dfrac{\pi h^3}{48}

, where

h\,\text{cm}

is the depth of water. The water is entering at a constant rate of

6\,\text{cm}^3\text{/s}

. Find

\dfrac{dh}{dt}

when

h=8

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