The pressure at the bottom of the pool is higher than at the surface due to the weight of the water above. The pressure at any depth in a fluid is given by the formula:
P = ρgh
where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth of the fluid.
Assuming the density of water is 1000 kg/m³ and the acceleration due to gravity is 9.8 m/s², we can calculate the pressure at the bottom of the pool:
P(bottom) = 1000 kg/m³ x 9.8 m/s² x 3 m = 29,400 Pa
At the surface of the pool, the depth is zero, so the pressure is simply due to atmospheric pressure, which is about 101,325 Pa.
The pressure difference between the bottom and the surface is:
29,400 Pa - 101,325 Pa = -71,925 Pa
The negative sign indicates that the pressure at the bottom is lower than at the surface. Therefore, the correct answer is that the pressure at the surface is 71,925 Pa higher than at the bottom.