1. Determine the pool's volume. The formula for the volume of a cylinder is:
```
V = πr²h
```
Where:
- V is the volume in cubic feet
- π is a constant approximately equal to 3.14
- r is the radius of the pool in feet
- h is the height of the pool in feet
In this case, the radius of a 27 ft round pool is 13.5 ft. If the pool is 5 ft high, the volume is:
```
V = 3.14 * 13.5² * 5
= 2894.25 cubic feet
```
2. Determine the sand requirement per square foot of pool surface area. The general recommendation for above-ground pools is 1 pound of sand per square foot of pool surface area.
3. Calculate the pool surface area. The formula for the surface area of a circle is:
```
A = πr²
```
Where:
- A is the surface area in square feet
- π is a constant approximately equal to 3.14
- r is the radius of the pool in feet
In this case, the radius of a 27 ft round pool is 13.5 ft. The surface area is:
```
A = 3.14 * 13.5²
= 572.55 square feet
```
4. Determine the total sand required. Multiply the sand requirement per square foot of pool surface area by the pool's surface area.
```
Sand required = 1 pound per square foot * 572.55 square feet
= 572.55 pounds
```
Therefore, approximately 572.55 pounds of sand are needed for an above-ground filter 27 ft round pool.
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