How do I use the Cone Volume Calculator?
Enter your values in the fields and the result updates instantly as you type.
Cone Volume Calculator
Calculate the volume of a cone from radius and height. Enter your values, review the formula, and use the worked result as a quick check for everyday planning.
Cone Volume Calculator
Calculate the volume of a cone from radius and height.
e.g., cm, m, ft, in
e.g., cm, m, ft, in
Results
Volume
56.548668 cu units
Formula: Volume = (1/3) * π * r² * h
Cone Volume from Radius and Height
Calculate the volume of a cone using its base radius and height. A cone has one-third the volume of a cylinder with the same base and height.
Formula
Volume = (1/3) × π × r² × h. The 1/3 factor accounts for the tapering shape. Calculate cylinder volume (πr²h) and divide by 3.
Worked example
Radius 3, height 6: volume = (1/3) × π × 9 × 6 = 56.55 cubic units. A conical paper cup with 4 cm radius and 10 cm height: about 167.6 cm³ (168 mL).
Practical guidance
The 1/3 factor explained
A cone has exactly one-third the volume of a cylinder with the same base and height. This holds for pyramids as well. Stack three identical cones point-to-base and they fill a cylinder — a useful geometric fact.
Cones in manufacturing
Hoppers, funnels, ice cream cones, speaker cones, and pile-of-material shapes are conical. Volume estimates help with material flow rates, storage capacity, and fill calculations.
Frequently asked questions
What formula does this calculator use?
Volume = (1/3) * π * r² * h
Can I use decimal values?
Yes. Decimal inputs are supported for most calculators. Integer-based tools use rounded integer values where appropriate.
Is this calculator free?
Yes. CalcuNimble calculators are free and optimized for fast everyday use.