Advanced Conical Frustum Volume Calculator

Calculate volume and surface area with interactive 3D visualization

📏 Frustum Calculator

Enter the dimensions of your conical frustum

Top Radius (r₁)

Bottom Radius (r₂)

Height (h)

Unit

📊 Results

Calculated properties of the frustum

Volume 0 m³

Total Surface Area 0 m²

Lateral Surface Area 0 m²

Slant Height 0 m

📈 Properties Analysis

Comparison of calculated properties

🎯 3D Frustum Model

Interactive 3D visualization

Drag to rotate • Scroll to zoom

Understanding Conical Frustums

A conical frustum (or truncated cone) is the portion of a cone that remains after cutting off the top portion with a plane parallel to the base. It's a common shape in engineering, architecture, and manufacturing applications.

Volume Formula

V = (1/3)πh(r₁² + r₁r₂ + r₂²)
Where h is height, r₁ and r₂ are the radii

Surface Area

Total = π(r₁² + r₂² + (r₁ + r₂)s)
Lateral = π(r₁ + r₂)s
Where s is slant height

Applications

Used in containers, lampshades, traffic cones, architectural elements, and various engineering designs.