A rectangular prismatic tank has the following dimensions :length is 3 m, width is 2m . And depth is 3m .it is being filled with water and the surface level is rising at 20cm/min.what is the inflow rate of water at the tank ?

Answer 1

Ok, volume= 1/2*width*height*length

but the width of the top is 2/3 * height

volume= 1/2 *2/3 h^2*length

dv/dt=2/3 h*length dh/dt

You are given dh/dt, compute dv/dt. Now note that you cant answer this unless you know the depth at that time.