A Cubic Feet of a Cylinder Calculator is a powerful tool used to determine the volume of a cylinder in cubic feet.
Sample conversions:
- 1 cubic foot ≈ 28.3168 liters
- 1 cubic foot ≈ 7.48052 gallons (US)
- 1 cubic foot ≈ 1728 cubic inches
These conversions can be helpful when you need to express the cylinder’s volume in different units.
The calculator typically requires two inputs:
- The radius of the circular base of the cylinder
- The height of the cylinder
Once these measurements are provided, the calculator uses a mathematical formula to compute the volume in cubic feet.
Cubic Feet of a Cylinder Calculator
| Radius (ft) | Height (ft) | Volume (ft³) | Conversion Equation | Volume in Other Units |
|---|---|---|---|---|
| 2 | 5 | 62.83 | V = π 2² 5 | 1,778.88 liters |
| 3 | 4 | 113.10 | V = π 3² 4 | 846.60 gallons (US) |
| 1.5 | 6 | 42.41 | V = π 1.5² 6 | 73,284.48 cubic inches |
| 4 | 3 | 150.80 | V = π 4² 3 | 4,269.55 liters |
| 2.5 | 7 | 137.44 | V = π 2.5² 7 | 1,028.12 gallons (US) |
We’ve used the formula V = π r² h to compute the volume in cubic feet. Then, we’ve applied the conversion factors mentioned earlier to express the volume in different units:
- For liters: Multiply cubic feet by 28.3168
- For US gallons: Multiply cubic feet by 7.48052
- For cubic inches: Multiply cubic feet by 1728
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Cubic Feet of a Cylinder Formula
The formula to calculate the cubic feet of a cylinder is:
V = π r² h
Where:
- V is the volume in cubic feet
- π (pi) is approximately 3.14159
- r is the radius of the circular base in feet
- h is the height of the cylinder in feet
Example: Let’s say we have a cylinder with a radius of 2 feet and a height of 5 feet.
V = π 2² 5
V ≈ 3.14159 4 5
V ≈ 62.8318 cubic feet
How Do You Calculate the Cubic Feet of a Cylinder?
To calculate the cubic feet of a cylinder, follow these steps:
- Measure the radius: Determine the radius of the circular base in feet.
- Measure the height: Measure the height of the cylinder in feet.
- Square the radius: Multiply the radius by itself (r²).
- Multiply by pi: Multiply the result from step 3 by π (3.14159).
- Multiply by height: Multiply the result from step 4 by the height.
The final result will give you the volume of the cylinder in cubic feet.
How Do You Find the Cubic Capacity of a Cylinder?
The term “cubic capacity” is often used interchangeably with “volume.” To find the cubic capacity of a cylinder:
- Use the formula: V = π r² h
- Ensure all measurements are in the same unit (e.g., feet, inches, or meters)
- Calculate using the steps outlined earlier
Remember that the result will be in cubic units corresponding to your input measurements (e.g., cubic feet, cubic inches, or cubic meters).
How to Figure Out the Volume of a Cylinder?
Figuring out the volume of a cylinder involves the same process as calculating its cubic feet or cubic capacity. The key steps are:
- Identify the radius and height of the cylinder
- Apply the formula: V = π r² h
- Perform the calculation, ensuring all units are consistent
It’s crucial to pay attention to the units of your input measurements and desired output.
If you need the volume in a specific unit (e.g., cubic feet), make sure your radius and height are also in feet before applying the formula.
