Cubic Feet of a Cylinder Calculator

The cubic feet of a cylinder calculator is created to know the volume of a cylindrical object in cubic feet.

The calculator takes two inputs: the radius (or diameter) of the circular base and the height of the cylinder. Using these measurements, it applies the formula for the volume of a cylinder to calculate the cubic feet.

We have a cylindrical tank with a radius of 2 feet and a height of 5 feet.

The calculator would perform the following calculation:

Volume = π × radius² × height
        = π × 2² × 5
        = π × 4 × 5
        ≈ 62.83 cubic feet

This result tells us that the tank can hold approximately 62.83 cubic feet of material.

Cubic Feet of a Cylinder Calculation Chart

Cubic Feet of a Cylinder Formula

The Cubic Feet of a Cylinder Formula is derived from the general formula for the volume of a cylinder:

Volume = π × radius² × height

Calculate the volume of a cylindrical silo with a diameter of 10 feet and a height of 20 feet.

We need the radius, which is half the diameter: 10 ÷ 2 = 5 feet

Volume = π × 5² × 20
        = π × 25 × 20
        = 500π
        ≈ 1,570.80 cubic feet

This calculation shows that the silo can hold approximately 1,570.80 cubic feet of material.

How Many Cubic Feet in a Cylinder?

Measure the radius (or diameter) of the circular base in feet.

Measure the height of the cylinder in feet.

Apply the formula: Volume = π × radius² × height

Calculate to get the result in cubic feet.

How many cubic feet are in a cylindrical water tank with a diameter of 6 feet and a height of 8 feet?

The diameter is 6 feet, so the radius is 3 feet.

The height is 8 feet.

Applying the formula:

Volume = π × 3² × 8
        = π × 9 × 8
        = 72π
        ≈ 226.19 cubic feet

The cylindrical water tank contains approximately 226.19 cubic feet of space. This volume could be used to determine how much water the tank can hold, keeping in mind that 1 cubic foot is about 7.48 gallons of water.

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