Geometry Tool

Cone Viewer

Calculate the volume, surface area, and slant height of a right circular cone.

Σ The Formula

V = (1/3)πr²h

Real World Examples

Ice Cream Cone
r=3cm, h=10cm → V=94.25 cm³
Pylon
r=0.5m, h=1.5m → V=0.39 m³

# About This Calculator

A Right Circular Cone is a three-dimensional geometric shape that tapers smoothly from a flat base (usually circular) to a point called the apex or vertex.

In geometry, calculating the cone's properties involves the radius of the base ($r$), the vertical height ($h$), and the slant height ($l$). The volume represents how much it can hold (like a funnel), while the surface area covers both the circular base and the curved side.

How To Use

  1. Enter the **Radius** of the circular base.
  2. Enter the vertical **Height** (from the center of the base to the apex).
  3. The tool calculates the volume, total surface area, and the diagonal distance (slant height).

Frequently Asked Questions

What is slant height?+

The slant height is the distance from any point on the edge of the circular base to the apex. It is essentially the hypotenuse of the right triangle formed by the radius and the height.

Is this for oblique cones too?+

This calculator is specifically for 'Right' cones where the apex is directly above the center of the base. While the volume formula is the same for oblique cones, the surface area formula is much more complex.

Is Cone Viewer free to use?+

Yes, Cone Viewer on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Cone Viewer?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Cone Viewer are accurate for academic and professional use.

Can I use Cone Viewer on my phone?+

Yes! Cone Viewer is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

Do you save my data?+

No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.

About

A Right Circular Cone is a three-dimensional geometric shape that tapers smoothly from a flat base (usually circular) to a point called the apex or vertex.

In geometry, calculating the cone's properties involves the radius of the base ($r$), the vertical height ($h$), and the slant height ($l$). The volume represents how much it can hold (like a funnel), while the surface area covers both the circular base and the curved side.

Related Tools

Annulus Calculator

Capsule Calc

Volume Calculator

Surface Area