Answer:2.634 in./s
Step-by-step explanation:
Given
Length (L)=18 in.
width (B)=12 in.
height(h)=4 in.
Volume of water is increasing at a rate of 569 [tex]in^3/s[/tex]
Volume of a box is given by=LBh
and [tex]\dot{V}=LB\dot{h}[/tex]
as L&B are constant therefore
[tex]\dot{V}=18\times 12\times \dot{h}[/tex]
[tex]\dot{h}=2.634 in./s[/tex]