A source tank has constant horizontal cross-sectional area $20\text{ cm}^2$. Its water depth falls

Question

A source tank has constant horizontal cross-sectional area $20\text{ cm}^2$. Its water depth falls at $0.3\text{ cm/s}$, and all the water leaving it enters a second tank.
The second tank has constant horizontal cross-sectional area $50\text{ cm}^2$ and leaks at $1\text{ cm}^3/\text{s}$.
Find the rate of change of water depth in the second tank.

Accepted Answer

Receiving depth rises at $0.1\text{ cm/s}$.

Differentiation

Differentiation

Solution:

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