Frustum Calculator

A Frustum can be defined as a geometric figure that consists of three dimensions, and its top has been removed by a plane parallel to the base.

The diameters of the top side and the base are parallel to each other and are located in the centre of the axis.

The Frustum Calculator is capable of saving all of the calculations that have been carried out by the user in a form of a table by simply clicking the "Add to Table" button.


It is important to recall some basic information that is relevant to the Frustum Calculator. The dimensions that can be found using the calculator include: the vertical height of the figure Frustum, the slope height of the sides, top and base diameters as well as to and base radiuses.

Square units are used for the following dimensions: the top surface area, lateral surface area, base surface are and total surface area. The volume is calculated in units cubed.

Also, the number of decimal places to which the calculations are carried out it preset to be 2, but it can be changed by the user.

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Frustum Shape

Frustum shape Calculator

Dimension Value Notes
Height (h) The vertical Height of the frustum
Slope Height (s) The length of the sloped side
Top Diameter (d1) Diameter of the Top
Base Diameter (d2) Diameter of the Base
Top Radius (r1) Radius of the top of the Frustum
Base Radius (r2) Radius of the Base
Top Surface Area (T) Surface Area of the top (in square units)
Lateral Surface Area (L) The Lateral Surface Area (in square units)
Base Surface Area (B) Surface Area of the circular base (in square units)
Total Surface Area (A) Total Surface Area (in square units)
Volume The Volume of the Frustum (in cubic units)

You may set the number of decimal places in the online calculator. By default there are only two decimal places.

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The Frustum Calculator is capable of applying the following algorithms:

Slope Height (s) = √((r2 - r1)2+h2)

Lateral surface area (L) = π x (r1 + r2) x s

Surface area of top (T) = πr12

Surface area of base (B) = πr22

Total area = T + B + L

Volume = (1/3) x π x h x (r12 + r22 + (r1 * r2))

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