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# Calculate The Volume of A Truncated Cone/Conical Frustum

Last updated: Saturday, June 24, 2023
Select a type of cone below
Right Cone
Truncated Cone

A truncated cone, also known as a conical frustum, is a three-dimensional shape that is formed by cutting the top off of a cone with a plane parallel to its base. The resulting shape is a truncated cone with two parallel bases of different sizes connected by a curved lateral surface.

Truncated cones can be found in a variety of real-life objects, such as ice cream cones, traffic cones, megaphones, and lampshades. The shape is also commonly used in architecture, with examples including the spires of Gothic cathedrals and the roofs of some traditional Japanese buildings.

Easily calculate the volume of a truncated cone or conical frustum with step-by-step guidance using our free calculator below.

The formula for determining the volume of a truncated cone/conical frustum is defined as:
$$V$$ $$=$$ $$\dfrac{1}{3}$$ $$\cdot$$ $$\pi$$ $$\cdot$$ $$(r^2$$ $$+$$ $$r$$ $$\cdot$$ $$R$$ $$+$$ $$R^2)$$ $$\cdot$$ $$h$$
$$V$$: the volume of the cone
$$r$$: the radius of the top
$$R$$: the radius of the base
$$h$$: the height of the cone
$$\pi$$: A mathematical constant with an infinite decimal tail
The SI unit of volume is: $$cubic \text{ } meter\text{ }(m^3)$$
Select a problem below
Find $$V$$
Find $$V$$

## Find $$V$$

Use this calculator to determine the volume of a truncated cone when the height and the radii of the bases are given.
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$$r$$
$$meter$$
$$R$$
$$meter$$
the height of the cone
$$h$$
$$meter$$
$$\pi$$ : A mathematical constant with an infinite decimal tail
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