The dimension of a rectangular pool are 32.5 feet by 15 feet. The depth of the water is 5 ft. Each cubic feet contains 7.48 gallons of water. How many gallons of water to the nearest tenth are needed to fill the pool to 75 %

32.5*15*5 * 7.48 * 0.75 = ____ gal

To find out how many gallons of water are needed to fill the pool to 75%, we first need to calculate the volume of the pool.

The volume of a rectangular pool can be found by multiplying its length, width, and depth. In this case, the length is 32.5 feet, the width is 15 feet, and the depth is 5 feet.

Volume of pool = length × width × depth
Volume of pool = 32.5 ft × 15 ft × 5 ft

Now we can calculate the volume of the pool:

Volume of pool = 812.5 ft³

Next, we need to find 75% of the total volume to determine how much water is needed to fill it to that level:

75% of Volume of pool = 0.75 × Volume of pool

Let's calculate that:

75% of Volume of pool = 0.75 × 812.5 ft³

75% of Volume of pool = 609.375 ft³

Finally, we need to convert the volume from cubic feet to gallons. We know that each cubic foot contains 7.48 gallons of water:

Volume in gallons = Volume in cubic feet × 7.48 gallons/ft³

Let's calculate the final result:

Volume in gallons = 609.375 ft³ × 7.48 gallons/ft³

Volume in gallons ≈ 4558.56 gallons

Therefore, you would need approximately 4558.6 gallons of water to fill the pool to 75% capacity.