What is the volume of a circular pool in gallons?

The volume of a circular pool is calculated using the formula for the volume of a cylinder, which is essential for determining how much water the pool can hold. To find the volume in gallons, the formula must account for the area of the circular base and the average depth of the pool.

The correct formulation, which is represented in the choice selected, uses the concept of the area of a circle, which is calculated using the radius. The formula for the volume of a cylinder (in this case, the pool) is as follows:

Volume = Area of the base (circle) × Height (or average depth).

The area of the base can be derived from Pi (π), which is approximately 3.14, multiplied by the radius squared (Radius × Radius). Therefore, the initial part of the formula will be Pi × Radius × Radius.

To convert this volume from cubic feet (which is the result of multiplying the circle's area by the depth) to gallons, a conversion factor is applied. Since there are 7.48 gallons in a cubic foot, multiplying the total volume in cubic feet by 7.48 achieves the desired measurement in gallons.

Thus, combining these elements leads to the formulation:

Volume in gallons = π