## 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

Radius (ft) | Height (ft) | Volume (ft³) |
---|---|---|

1 | 5 | 15.71 |

2 | 4 | 50.27 |

1.5 | 6 | 42.41 |

3 | 3 | 84.82 |

2.5 | 5 | 98.17 |

1.75 | 7 | 67.19 |

3.5 | 2 | 76.97 |

2.25 | 4.5 | 71.57 |

## 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(ordiameter) of the circular base in feet.Measure the

heightof the cylinder in feet.Apply the formula:

Volume = π × radius² × heightCalculate 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

diameteris6 feet, so theradiusis3 feet.The

heightis8 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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