A cylindrical tank with a circular base of 8m in diamante is being filled at 4m3/min. How fast is the level rising when it is half full?
Known:
d=8m
2r=d
r=d/2
d(v)/dt=4.0m3/min
Confusion: How to apply the "half full" concept.
3 answers
it is not clear to me the orientation of the cylinder. Vertical, or Horizontal?
It is not specified in the question. It is a tank, so perhaps up right, vertical?
if it is upright, then the fluid level rises at a constant rate.
The cross-section is 16π m^2, so
dh/dt = dV/dt / 16π = 4.0/16π = 1/(4π) m/min
The cross-section is 16π m^2, so
dh/dt = dV/dt / 16π = 4.0/16π = 1/(4π) m/min
5 answers