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Truncated Cone Volume Calculator.

Calculate the volume of a conical frustum.

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Set your values

Results update as you type.

02 / ANSWER

Larger radius

Smaller radius

Height

Volume

0.000000

Results update automatically as you type.

Use Cases

Engineering and Construction

Determine the volume of tapered structures like hoppers, funnels, or concrete piers to estimate material needs.

Example: Calculate the concrete needed for a tapered footing with larger radius 2 m, smaller radius 1 m, and height 3 m.

Manufacturing and Design

Find the capacity of containers or parts with a truncated cone shape, such as buckets, cups, or machine components.

Example: Estimate the volume of a bucket with top radius 15 cm, bottom radius 10 cm, and height 30 cm.

Frequently Asked Questions

What is a truncated cone?: A truncated cone is a cone with its top cut off by a plane parallel to the base. It has two circular bases of different radii, connected by a slanted surface. This calculator uses the larger radius, smaller radius, and height to find its volume.
How is the volume of a truncated cone calculated?: The volume is calculated using the formula V = (1/3) * π * h * (R² + R*r + r²), where R is the larger radius, r is the smaller radius, and h is the height. This calculator applies this formula instantly.
What units should I use for the radii and height?: You can use any consistent unit (e.g., centimeters, inches, meters) for all three inputs. The volume will be in cubic units of that same unit (e.g., cubic centimeters, cubic inches).

Tips & Common Mistakes

Tips

Ensure all inputs are in the same unit before calculating to get an accurate volume.
Double-check that the larger radius is indeed larger than the smaller radius; if not, the result may be misleading.
Use the volume to estimate material quantities, but always add a margin for waste or settling.
For a regular cone (not truncated), set the smaller radius to 0 to get the full cone volume.

Common Mistakes to Avoid

Mixing units (e.g., using meters for radius and centimeters for height) without converting, leading to incorrect volume.
Entering the radii in the wrong order, which can produce a different result if the formula is not symmetric.
Assuming the volume is simply the average of the base areas times height; the correct formula includes the product of the radii.

Last updated: August 13, 2026

Use Cases

Engineering and Construction

Determine the volume of tapered structures like hoppers, funnels, or concrete piers to estimate material needs.

Example: Calculate the concrete needed for a tapered footing with larger radius 2 m, smaller radius 1 m, and height 3 m.

Manufacturing and Design

Find the capacity of containers or parts with a truncated cone shape, such as buckets, cups, or machine components.

Example: Estimate the volume of a bucket with top radius 15 cm, bottom radius 10 cm, and height 30 cm.

Frequently Asked Questions

What is a truncated cone?

A truncated cone is a cone with its top cut off by a plane parallel to the base. It has two circular bases of different radii, connected by a slanted surface. This calculator uses the larger radius, smaller radius, and height to find its volume.

How is the volume of a truncated cone calculated?

The volume is calculated using the formula V = (1/3) * π * h * (R² + R*r + r²), where R is the larger radius, r is the smaller radius, and h is the height. This calculator applies this formula instantly.

What units should I use for the radii and height?

You can use any consistent unit (e.g., centimeters, inches, meters) for all three inputs. The volume will be in cubic units of that same unit (e.g., cubic centimeters, cubic inches).

Tips & Common Mistakes

Tips

Ensure all inputs are in the same unit before calculating to get an accurate volume.
Double-check that the larger radius is indeed larger than the smaller radius; if not, the result may be misleading.
Use the volume to estimate material quantities, but always add a margin for waste or settling.
For a regular cone (not truncated), set the smaller radius to 0 to get the full cone volume.

Common Mistakes to Avoid

Mixing units (e.g., using meters for radius and centimeters for height) without converting, leading to incorrect volume.
Entering the radii in the wrong order, which can produce a different result if the formula is not symmetric.
Assuming the volume is simply the average of the base areas times height; the correct formula includes the product of the radii.

Use Cases

Engineering and Construction

Determine the volume of tapered structures like hoppers, funnels, or concrete piers to estimate material needs.

Example: Calculate the concrete needed for a tapered footing with larger radius 2 m, smaller radius 1 m, and height 3 m.

Manufacturing and Design

Find the capacity of containers or parts with a truncated cone shape, such as buckets, cups, or machine components.

Example: Estimate the volume of a bucket with top radius 15 cm, bottom radius 10 cm, and height 30 cm.

Frequently Asked Questions

What is a truncated cone?

How is the volume of a truncated cone calculated?

What units should I use for the radii and height?

You can use any consistent unit (e.g., centimeters, inches, meters) for all three inputs. The volume will be in cubic units of that same unit (e.g., cubic centimeters, cubic inches).

Tips & Common Mistakes

Tips

Ensure all inputs are in the same unit before calculating to get an accurate volume.
Double-check that the larger radius is indeed larger than the smaller radius; if not, the result may be misleading.
Use the volume to estimate material quantities, but always add a margin for waste or settling.
For a regular cone (not truncated), set the smaller radius to 0 to get the full cone volume.

Common Mistakes to Avoid

Mixing units (e.g., using meters for radius and centimeters for height) without converting, leading to incorrect volume.
Entering the radii in the wrong order, which can produce a different result if the formula is not symmetric.
Assuming the volume is simply the average of the base areas times height; the correct formula includes the product of the radii.