Water flows from a cylinder of radius $4\text{ cm}$ into a cylinder of radius $2\text{ cm}$. The

Question

Water flows from a cylinder of radius $4\text{ cm}$ into a cylinder of radius $2\text{ cm}$. The water depth in the first cylinder falls at $0.5\text{ cm/s}$. Find: the volume flow rate into the second cylinder; the rate at which its water depth rises.

Accepted Answer

(a) Inflow $=8\pi\text{ cm}^3/\text{s};$ (b) Depth rises at $2\text{ cm/s}$.

Differentiation

Differentiation

Solution:

Solution locked