Final answer:
The pressure in the water tank is greater than that in the oil tank because the density of water is higher than that of oil, and pressure at a specific depth is dependent on the fluid's density as well as the height of the fluid above that point.
Step-by-step explanation:
When comparing the pressure at a height of two feet above the bottom in both a cylindrical tank containing water and a dome-shaped tank containing oil, it's important to consider the way pressure in a fluid behaves. According to the principles of fluid mechanics, the pressure at any point in a static fluid depends only on the depth at that point and the density of the fluid, not the shape of the container. If both fluids are at the same height of 10 feet, and we are measuring the pressure at 2 feet above their respective tank bottoms, the height of the fluid above the point in question is the same for both tanks.
However, since oil has a lower density than water, the pressure in the oil tank at that depth will be less than the pressure in the water tank. This is because pressure is calculated as the product of the fluid's density (p), the height (h) of the fluid column above the point, and the acceleration due to gravity (g), expressed as P = hpg. Since both h and g are constants in this scenario, but the density p is lower for oil, the resulting pressure for the oil tank will also be lower than that of the water tank.
Therefore, the correct answer to the question is: 1) The pressure in the water tank is greater than that in the oil tank.