If a 100-foot long pool with a width of 50 feet has an average depth of 7 feet, how many gallons are needed to raise the water level four inches?

If a 100-foot long pool with a width of 50 feet has an average depth of 7 feet, how many gallons are needed to raise the water level four inches?

• A. 10,000 gallons
• B. 12,495 gallons
• C. 15,000 gallons
• D. 18,000 gallons

Answer: (B)

To determine how many gallons of water are needed to raise the water level in the pool by four inches, first, it's essential to calculate the volume of the pool section that this increase in water level will occupy. The dimensions of the pool are 100 feet in length and 50 feet in width, with an average depth of 7 feet. To find the volume required for the additional water, the volume formula (length × width × height) can be used. For this situation, the height is the increase in water level, which is four inches. First, convert the four inches to feet for consistency in units: 4 inches = 4/12 feet = 1/3 feet. Next, calculate the volume increase: - Volume = Length × Width × Height - Volume = 100 feet × 50 feet × (1/3) feet - Volume = 100 × 50 × (1/3) = 1666.67 cubic feet. Now, convert cubic feet to gallons using the conversion factor where 1 cubic foot is approximately equal to 7.48 gallons: - Volume in gallons = 1666.67 cubic feet × 7.48 gallons/cubic foot - Volume in

To determine how many gallons of water are needed to raise the water level in the pool by four inches, first, it's essential to calculate the volume of the pool section that this increase in water level will occupy.

The dimensions of the pool are 100 feet in length and 50 feet in width, with an average depth of 7 feet. To find the volume required for the additional water, the volume formula (length × width × height) can be used. For this situation, the height is the increase in water level, which is four inches.

First, convert the four inches to feet for consistency in units:

4 inches = 4/12 feet = 1/3 feet.

Next, calculate the volume increase:

• Volume = Length × Width × Height

• Volume = 100 feet × 50 feet × (1/3) feet

• Volume = 100 × 50 × (1/3) = 1666.67 cubic feet.

Now, convert cubic feet to gallons using the conversion factor where 1 cubic foot is approximately equal to 7.48 gallons:

• Volume in gallons = 1666.67 cubic feet × 7.48 gallons/cubic foot

• Volume in