Math
Cone Volume Calculator
Use this cone volume calculator for geometry problems and cone-shaped containers.
Try an example
Result
Volume
—
- Base area
- —
- Slant height
- —
Student quick launch
Grade planning, algebra checks, and formulas students reach for most.
Study path
Use this calculator with
Follow these when you want the formula behind the answer, a short lesson, or nearby tools in the same topic.
What the cone volume calculator solves
Use this cone volume calculator for geometry problems and cone-shaped containers.
Formula
How to use it
- Enter radius.
- Enter perpendicular height.
- Divide the matching cylinder volume by 3.
How to read the answer
A cone with the same base and height as a cylinder has one-third the cylinder's volume.
Common mistakes and edge cases
- Do not use slant height as vertical height.
- Use radius, not diameter.
- Volume is in cubic units.
Worked examples
Standard cone
Volume
150.7964
Wide cone
Volume
188.4956
Frequently asked questions
Why divide by 3?+
A cone occupies one-third of the volume of a cylinder with the same base and height.
What is slant height?+
It is the side length from the rim to the tip, not the vertical height.
Can I use this for an oblique cone?+
The same volume formula works if height means perpendicular height from the base to the tip.
About this calculator
- Written by
- mathcheck editorial team
- Last reviewed
- May 15, 2026
Method
- Uses the values entered by the user and stable formulas documented on the page.
Related calculators
Cylinder Volume Calculator
Calculate cylinder volume, base area, and lateral surface area from radius and height.
Volume Calculator
Find the volume of 11 solids — cube, box, cylinder, cone, sphere, hemisphere, pyramid, triangular prism, ellipsoid, capsule, and frustum — with exact π forms, cubic-unit labels, surface area, and liters/gallons capacity.
Pythagorean Theorem Calculator
Solve a² + b² = c² for the hypotenuse or either leg with exact radical form (√50 = 5√2) and decimals, plus area, perimeter, both acute angles, a Pythagorean-triple check, steps, and a squares-on-sides diagram.
Ellipsoid Volume Calculator
Calculate ellipsoid volume from three semi-axis lengths, plus a sphere-equivalent radius check.
Pyramid Volume Calculator
Calculate rectangular pyramid volume from base length, base width, and perpendicular height.
Rectangular Prism Volume Calculator
Calculate rectangular prism volume, surface area, and space diagonal from length, width, and height.
Last updated: May 15, 2026