Math

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Cone Volume Calculator.

Calculate the volume of a right circular cone from its radius and height.

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Set your values

Results update as you type.

Volume: 37.699112 units³

Volume

37.699112units³

Results update automatically as you type.

Use Cases

Construction and DIY Projects

Determine the volume of cone-shaped structures or materials, such as piles of sand, gravel, or concrete cones, to estimate quantities needed.

Example: Calculate the volume of a sand pile with radius 3 ft and height 4 ft.

Cooking and Baking

Find the capacity of cone-shaped containers or molds, like paper cones or waffle cones, to adjust recipes or portion sizes.

Example: Find the volume of a waffle cone with radius 1.5 inches and height 6 inches.

Frequently Asked Questions

How do I calculate the volume of a cone?
Enter the radius of the base and the perpendicular height of the cone into the calculator. The volume is computed using the formula V = (1/3)πr²h, where r is the radius and h is the height. The result is given in cubic units.
What is the difference between perpendicular height and slant height?
Perpendicular height is the vertical distance from the apex to the center of the base, forming a right angle with the base. Slant height is the distance along the cone's side from apex to base edge. This calculator uses perpendicular height, not slant height.
Can I use any unit for radius and height?
Yes, you can enter the radius and height in any unit (e.g., inches, centimeters, feet). The volume will be in cubic units of that same unit. Ensure both measurements are in the same unit for accurate results.

Tips & Common Mistakes

Tips

  • Ensure the radius and height are in the same unit before calculating to get the volume in cubic units correctly.
  • The height must be the perpendicular height, not the slant height, for the formula to work.
  • If you only have the diameter, divide it by 2 to get the radius before entering it.
  • For a quick estimate, use π ≈ 3.14, but the calculator uses a more precise value for accuracy.

Common Mistakes to Avoid

  • Using the diameter instead of the radius in the calculation.
  • Entering the slant height instead of the perpendicular height.
  • Mixing different units for radius and height without converting, leading to incorrect volume.

Last updated: August 13, 2026