Conical Frustum Volume Calculator
Calculate volume of buckets, paper cups, planters, and tapered containers. Enter your measurements below to calculate instant, accurate volume in gallons, liters, cubic feet, or cubic meters.
Enter Dimensions
Measure your conical frustum (truncated cone) and select units for each measurement
How to Calculate Conical Frustum (Truncated Cone) Volume
Understand the mathematical formula and measurement method
Where r₁ = top radius, r₂ = bottom radius, and h = vertical height between bases.
Calculation Steps
- 1Measure top radius (r₁), bottom radius (r₂), and vertical height (h).
- 2Compute (r₁² + r₁ × r₂ + r₂²).
- 3Multiply by (π × h / 3): Volume = (π × h / 3) × (r₁² + r₁r₂ + r₂²).
Practical Everyday Uses for Conical Frustum (Truncated Cone)
Where this 3D calculation is applied in construction, shipping, and daily projects
5-Gallon Utility Buckets
Standard hardware store buckets have tapered sides for easy nesting when stacked.
Takeout Coffee Cups
12 oz, 16 oz, and 20 oz disposable paper cups are frustums.
Flower Pots & Planters
Soil volume calculations for round gardening pots.
Frequently Asked Questions
Common measurement questions for conical frustum (truncated cone) volume
What is a conical frustum?▼
A frustum is a cone whose tip (apex) has been sliced off parallel to its base, creating two parallel circular ends of different sizes.
Explore Other 3D Volume Calculators
Quick links to other shapes in our mathematical suite