A spherical cone is a portion of a sphere or of a ball defined by a conical boundary with apex at the center of the sphere.

One example of a real-life object that has a similar shape to a spherical cone is the nose cone of a rocket. The nose cone is often designed in the shape of a spherical cone to reduce air resistance and improve aerodynamics. Another example is the shape of some types of lampshades that have a spherical cone structure.

Easily calculate the surface area of a spherical cone with step-by-step guidance using our free calculator below.

The formula for determining the surface area of a spherical cone is defined as:

\(SA =2\) \(\cdot\) \(\pi\) \(\cdot\) \(r\) \(\cdot\) \(h\) \(+\) \(\pi\) \(\cdot\) \(r_2\) \(\cdot\) \(r\)

\(SA\): the surface area of the spherical cone

\(r\): the radius of the sphere

\(r_2\): the radius of the bottom cap

\(h\): the distance between the top and bottom caps

The SI unit of surface area is: \(square \text{ } meter\text{ }(m^2)\)

## Find \(SA\)

Use this calculator to determine the surface area of a spherical cone with height and the radii given.

Hold & Drag

CLOSE

the radius of the bottom cap

\(r_2\)

\(meter\)

the distance between the top and bottom caps

\(h\)

\(meter\)

Bookmark this page or risk going on a digital treasure hunt again