Answer:
Win=436584.2477 cm3/min
Step-by-step explanation:
Volume for a conical tank
V=π/3 r^2 h
We need a relation between r and h
r/h=252.5/1301.3=0.194 --> r=0.194h
sust. in Volume equation
V=π/3 (0.194r)^2 h=0.0394h^3
taking derivative with time respect in both sides
dV/dt=3(0.0394) h^2 dh/dt and we know when h=404cm, dh/dt=22.022 cm/min
dV/dt=3(0.0394)(404)^2 (22.022)=424984.2477 cm^3/min
Also, we know
dV/dt=Win-Wout and Wout=Win-11600.01160
Finally
Win=424984.2477+11600.0116
Answer
Win=436584.2477 cm3/min
