Cone Volume Calculator
Calculate volume of funnels, conical mounds, traffic cones, and grain hoppers. Enter your measurements below to calculate instant, accurate volume in gallons, liters, cubic feet, or cubic meters.
Enter Dimensions
Measure your cone and select units for each measurement
How to Calculate Cone Volume
Understand the mathematical formula and measurement method
Where r = base radius, h = vertical height, and slant height s = √(r² + h²).
Calculation Steps
- 1Measure base radius (r) and vertical height (h) from the base center to the apex.
- 2Calculate the base area: A = π × r².
- 3Multiply by height and divide by 3: Volume = (1/3) × π × r² × h (exactly 1/3 the volume of a cylinder with identical base and height).
Practical Everyday Uses for Cone
Where this 3D calculation is applied in construction, shipping, and daily projects
Stockpile Gravel & Mulch Cones
Quarry managers calculate tons of sand or soil piled in natural conical mounds.
Grain & Feed Storage Hoppers
Agricultural cones used to dispense grain and animal feed via gravity feed chutes.
Funnels & Volcano Cones
Fluid transfer funnels and geological volcanic cinder cones.
Frequently Asked Questions
Common measurement questions for cone volume
Is a cone always 1/3 of a cylinder?▼
Yes! A cone with radius r and height h has exactly 1/3 the volume of a cylinder with the same radius and height.
How do I measure height if I only know slant height?▼
Use the Pythagorean theorem: h = √(s² - r²), where s is slant height along the cone slope.
Explore Other 3D Volume Calculators
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