Report a Problem
Suggestions

# Calculate The Surface Area of A Spherical Cone

Last updated: Saturday, April 29, 2023
Select a type of sector below
Closed Spherical Sector
Open Spherical Sector
Spherical Cone

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