A swimming pool is 50 m long and 20 m wide Its depth decreases linearly along the length from 3 m to 1 m (see figure) It is initially empty and is filled at a rate of 1 m 3 min How fast is the water level rising 250 min after the filling begins How long will it take to fill the pool Inflow 1 m min ...

By similar triangles 250 hb so b 25h Also A 12 bh 125h 2 so the volume for 0 h 2 is V h 125h 2 ...

A swimming pool is 50 m long and 20 m wide. Its depth decreases linearly along the

Question:

A swimming pool is 50 m long and 20 m wide. Its depth decreases linearly along the length from 3 m to 1 m (see figure). It is initially empty and is filled at a rate of 1 m³/min. How fast is the water level rising 250 min after the filling begins? How long will it take to fill the pool?

Inflow 1 m³/min 50 m 20 m 3 m