Cone Calculator

About Cone Geometry

A cone is a 3D shape with a circular base that tapers to a single point called the apex. The calculations for the volume and surface area of a cone depend on the radius of the base and the height of the cone.

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  • Cone Calculator – Calculate Volume, Surface Area, and More

    Cone Calculator – Calculate Volume, Surface Area, and More

    Use our Cone Calculator to quickly calculate the volume, surface area, slant height, and other properties of a cone. Whether you are working on a math project, engineering design, or any application involving cones, this tool will give you accurate results in seconds.

    What is a Cone?

    A cone is a 3D geometric shape with a circular base that tapers smoothly to a point called the apex or vertex. The slant height is the distance from the base to the apex, measured along the side of the cone, while the height is the perpendicular distance from the base to the apex.

    How to Use the Cone Calculator

    Cone Formulas

    1. Volume of a Cone

    V = (1/3) π r² h

    Where:
    V = Volume
    r = Radius of the base
    h = Height of the cone

    2. Surface Area of a Cone

    A = π r² + π r l

    Where:
    A = Surface area
    r = Radius of the base
    l = Slant height

    3. Lateral Surface Area of a Cone

    Aₗ = π r l

    Where:
    Aₗ = Lateral surface area
    r = Radius of the base
    l = Slant height

    4. Slant Height of a Cone

    l = √(r² + h²)

    Where:
    l = Slant height
    r = Radius of the base
    h = Height of the cone

    Why Use the Cone Calculator?

    Cone Calculator

    A cone calculator computes the volume and surface area of a cone based on its radius and height. The formulas are:

    • Volume: V=13πr2hV = \frac{1}{3} \pi r^2 h

    • Surface Area: A=πr(r+l)A = \pi r (r + l), where ll is the slant height.

    This tool is useful in geometry, architecture, and various engineering applications to calculate the properties of conical shapes.

     
     
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