Free Engineering Tool #248

Geometry Calculator

Calculate area and volume for common 3D shapes. Select shape and enter dimensions.

Area & Volume5 ShapesAuto-Calc

Results

Volume

—

Surface Area

—

Shape

—

Cylinder: V=πr²h, A=2πr(r+h)

Cone: V=πr²h/3, A=πr(r+√(r²+h²))

Sphere: V=4πr³/3, A=4πr²

Torus: V=2π²Rr², A=4π²Rr

Rectangular: V=lwh, A=2(lw+wh+lh)

Enter dimensions in mm. Results are in mm² and mm³. Divide by 10⁶ for m² or 10⁹ for m³.

A donut shape. Defined by major radius R (center to tube center) and minor radius r (tube radius).

Calculate outer and inner cylinders separately, then subtract inner from outer volume.

Multiply volume by material density. E.g., steel: 7850 kg/m³.

Break into simple shapes, calculate each, then sum volumes.