A container in the shape of a square base pyramid has a height of 5 ft. and a base length of 5 ft., as shown. Water flows into the container (in its inverted position) at a constant rate of 4 ft³ per minute. Calculate the number of minutes it would take to fill the cone at 1 ft. intervals. Organize your data in the table below.
How long will it take to fill up the container?
Show that the water level is not rising at a constant rate. Explain.