To answer this question, we need to understand the concept of pressure in a fluid.
Pressure in a fluid is determined by the depth of the fluid and the density of the fluid. The pressure at the bottom of a fluid is given by the equation:
[ P = \rho g h ]
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.
In this case, we are comparing the pressure at the bottom of a 10-meter-deep, 20-kilometer-wide lake with the pressure at the bottom of a 10-meter-deep well that is only 1 meter across.
Since the depth of the fluid is the same (10 meters), the only difference between the two scenarios is the width of the lake and the width of the well.
The width of the lake (20 kilometers) does not affect the pressure at the bottom, as the pressure is determined only by the depth of the fluid.
Therefore, the pressure at the bottom of the lake and the pressure at the bottom of the well are the same.
Therefore, the correct answer is B) False. The pressure at the bottom of the lake is not higher than the pressure at the bottom of the well.