If I have a pool and it is 16 feet round and 4 fthe deep, how many gallons of water would that hold?
To find the capacity (amount of water), you must first find the volume. This prism is a cylinder (since it has a circular base).
Find radius:
Circumference = 2πr
r = C/2π
= 16/2π
= 8/π feet (= 2.55)
Find volume:
Volume = Area x height
= πr^2 x h
= π x (8/π)^2 x 4
= 64/π x 4
= 256/π cubic feet (= 81.49)
Find capacity:
(According to google)
1 cubic ft = 7.48 gallons
81. 49 cubic ft = 7.48 x 81.49 gallons
= 609.55 gallons of water
NOTE THAT ALL CALCULATIONS ARE TO 2 DECIMAL PLACES
To calculate the number of gallons of water your pool can hold, you can use the following formula:
Volume of a cylinder = π * r^2 * h
Where:
- π (pi) is approximately 3.14159
- r is the radius of the pool (half of the diameter)
- h is the height or depth of the pool
In your case:
- Diameter = 16 feet
- Radius = Diameter / 2 = 16 / 2 = 8 feet
- Depth = 4 feet
Now, let's substitute these values into the equation and calculate the volume of your pool:
Volume = 3.14159 * 8^2 * 4
= 3.14159 * 64 * 4
= 803.84 cubic feet
Since 1 cubic foot is approximately equal to 7.48 gallons, we can convert cubic feet to gallons:
Volume in gallons = Volume in cubic feet * 7.48
= 803.84 * 7.48
= 6006.23 gallons
Therefore, your pool would hold approximately 6006.23 gallons of water.
To calculate the number of gallons of water your pool can hold, you'll need to calculate the volume of the pool first.
The formula for calculating the volume of a cylinder is: Volume = π * radius^2 * height.
In your case, the pool is 16 feet round, which means the diameter is 16 feet. The radius is half the diameter, so in this case, the radius of the pool is 16 / 2 = 8 feet. The height of the pool is given as 4 feet.
Let's plug these values into the formula:
Volume = π * 8^2 * 4
To calculate this, we will use an approximate value of π as 3.14:
Volume ≈ 3.14 * 8^2 * 4
Volume ≈ 3.14 * 64 * 4
Volume ≈ 803.84 cubic feet
Now, we need to convert this volume from cubic feet to gallons, as it is a more common unit for measuring water.
There are 7.48 gallons in one cubic foot. So, to convert cubic feet to gallons, we will multiply the volume by 7.48:
Volume ≈ 803.84 * 7.48
Volume ≈ 6008.55 gallons
Therefore, your pool would hold approximately 6008.55 gallons of water.