Final answer:
The greatest rate of pressure/volume change occurs at the greatest depth, which is 11.0 km in the Marianas Trench near the Philippines.
Step-by-step explanation:
The greatest rate of pressure/volume change occurs at the greatest depth, which is 11.0 km in the Marianas Trench near the Philippines. This is because the pressure in a fluid increases with depth. As explained in Pascal's Principle, pressure in a static fluid depends only on the depth at that point.