Answer:
Rate of change in height of the water level is 2.91 cm per second.
Step-by-step explanation:
Height of the inverted pyramid = 10 cm
Length of the square base = 7 cm
If water is filled up to the level of h cm then the volume of water up to height h will be
V =
V =
It is given that rate of water is filling with 70 cubic centimeters per second.
From two similar triangles in the figure attached,
By replacing the value of h,
V =
V =
V =
Now we integrate the equation with respect to time 't'
70 =
For h = 7 cm
Therefore, rate of change in height of the water level is 2.91 cm per second.