What is the pressure exerted on the bottom of a pool in the deep end?

  • Thread starter mr.toronto
  • Start date
In summary, the "Pool Problem" is a mathematical puzzle used to determine the number of balls needed to fill a pool of a given shape and size. It can be solved by breaking the pool down into smaller shapes and using basic geometry and algebra to calculate the volume. The main factors that affect the solution are the pool's size and shape, as well as the size of the balls. It has real-life applications in architecture and engineering and can be solved for any shape or size of pool, although irregular shapes may require more complex calculations.
  • #1
mr.toronto
13
0

Homework Statement


What is the pressure exerted one the bottom of a pool in the deep end? The water is 3m deep and the dimensions are 7.5mx6m.


Homework Equations


volume of pool-3mx7.5mx6m=135mcubed

1m cubed= 1 ton 1000kg

135m cube= 135 tons


The Attempt at a Solution


3000p
 
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  • #2
I know the answer is 3000 pascal can somebody help me show that
 
  • #3
P = force/area = 135 tons/(6 x 7.5 m^2) = ? lbs/? in^2 = ? Pa

1 pascal = 145.04×10^-6 psi.

Just do the coversion.
 

1. What is the "Pool Problem"?

The "Pool Problem" is a mathematical puzzle that involves determining the number of balls that are needed to fill a pool of a specific shape and size. It is often used as a brain teaser or logic problem.

2. How is the "Pool Problem" solved?

The "Pool Problem" can be solved by breaking down the pool into smaller, simpler shapes and using basic geometry and algebra to calculate the volume of each shape. The volumes are then added together to determine the total number of balls needed to fill the pool.

3. What factors affect the solution to the "Pool Problem"?

The main factors that affect the solution to the "Pool Problem" are the size and shape of the pool, as well as the size of the balls being used. The larger the pool and/or the smaller the balls, the greater the number of balls that will be needed to fill the pool.

4. Are there any real-life applications for the "Pool Problem"?

While the "Pool Problem" may seem like a purely theoretical puzzle, it has real-life applications in fields such as architecture and engineering. It can also be used to teach problem-solving skills and critical thinking.

5. Can the "Pool Problem" be solved for any shape or size of pool?

Yes, the "Pool Problem" can be solved for any shape or size of pool. However, the calculation process may become more complex for irregular or non-standard shapes.

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