This table displays the amount of water in a bathtub as it is being drained. A 2-column table with 4 rows. Column 1 is labeled Time (minutes) with entries 7, 8, 9, 10. Column 2 is labeled Water (gallons) with entries 38.5, 36.25, 34, 31.75.

Use the table to interpret the rate of change.

What is the rate of change for the relationship?

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)