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SOLID GEOMETRY / RIGHT CONE

Cone Calculator

Calculate right-cone volume, slant height, lateral area, and total closed surface area from radius and perpendicular height.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

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Calculation path

Radius and height derive slant height by Pythagoras; one-third base area times height gives cone volume.

Calculation path

Volume = pi r^2 h / 3; slant height = sqrt(r^2 + h^2).

What you provide

What you provide

  • Base radius: Distance from circular center to edge.
  • Perpendicular cone height: Distance from base center to apex.

What you receive

What you receive

  • Cone volume
  • Slant height
  • Lateral and total surface area

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The apex is assumed directly above the circular base center and the base is included in total surface area.

This is an educational planning result, not a structural, electrical, thermal, solar, battery, generator, or safety design. Confirm specifications, units, codes, and professional requirements before acting.