Cone Volume Calculator

Calculate cone volume with radius and height. Free online cone volume calculator using V = (1/3)πr²h.

The Cone Volume Calculator finds the volume of any cone using its base radius and height. Using the formula V = (1/3)πr²h, this tool calculates the capacity of conical containers, ice cream cones, funnels, and conical piles. Essential for manufacturing, food service, and construction applications involving cone shapes.

Common use cases

  • Ice cream cone capacity
  • Funnel volume calculations
  • Conical pile estimation
  • Traffic cone manufacturing
  • Conical tank design

How to use

  1. Enter the radius of the base
  2. Enter the height of the cone
  3. Click calculate for the volume
  4. View the formula application
  5. Compare to cylinder volume

FAQ

What is the cone volume formula?

Volume = (1/3)πr²h, where r is base radius and h is height.

Why is cone volume 1/3 of a cylinder?

A cone with the same base and height as a cylinder contains exactly 1/3 the volume—proven by calculus.

What about slant height?

Volume uses vertical height, not slant height. If you have slant height l and radius r: h = √(l² - r²).

How do I measure cone height?

Height is the perpendicular distance from base center to apex (tip), not along the slant.