An in-ground swimming pool has the dimensions shown in the drawing.It is filled with water to a uniform depth of 3.00 m.
The density of water = 1.00 × 10³ kg/m³.

-What is the total pressure exerted on the bottom of the swimming pool?
A)2.94 × 10⁴ Pa
B)1.31 × 10⁵ Pa
C)1.80 × 10⁵ Pa
D)1.97 × 10⁵ Pa
E)2.49 × 10⁵ Pa

Question

An in-ground swimming pool has the dimensions shown in the drawing.It is filled with water to a uniform depth of 3.00 m.
The density of water = 1.00 × 10³ kg/m³.
 
-What is the total pressure exerted on the bottom of the swimming pool?
A)2.94 × 10⁴ Pa 
B)1.31 × 10⁵ Pa 
C)1.80 × 10⁵ Pa 
D)1.97 × 10⁵ Pa 
E)2.49 × 10⁵ Pa

Quizplus · Accepted Answer

The total pressure exerted on the bottom of a swimming pool is the sum of the atmospheric pressure and the pressure due to the water column above the point of interest. Assuming standard atmospheric pressure is approximately 1.01 × 10⁵ Pa and using the formula for pressure due to a liquid column, P = ρgh (where ρ is the density of water, approximately 1000 kg/m³, g is the acceleration due to gravity, approximately 9.8 m/s², and h is the depth of the water), the pressure due to the water column can be calculated and added to the atmospheric pressure to find the total pressure. Without the specific depth of the pool provided, the correct answer cannot be directly calculated from the information given in the question. However, the choice that closely represents a reasonable total pressure considering atmospheric pressure and a typical swimming pool depth is 1.31 × 10⁵ Pa, assuming a depth that when calculated gives a pressure that, when added to atmospheric pressure, approximates this value.

An In-Ground Swimming Pool Has the Dimensions Shown in the Drawing.It