An inverted conical container has height $12\text{ cm}$ and rim radius $4\text{ cm}$. Water drai

Question

An inverted conical container has height $12\text{ cm}$ and rim radius $4\text{ cm}$. Water drains at $4\pi\text{ cm}^3/\text{s}$. Find the rate of change of the water depth when $h=6\text{ cm}$.

Accepted Answer

$\frac{\mathrm{d}h}{\mathrm{d}t}=-1\text{ cm/s}$.

Differentiation

Differentiation

Solution:

Solution locked