Conical Frustum Volume Calculator
Find the volume of a cone with its top sliced off.
What is a Conical Frustum?
A cone with the top cut off.
A conical frustum is a frustum created by slicing the top off a cone (with the cut made parallel to the base). It is the shape of a typical drinking glass, bucket, or lampshade.
How to Find the Volume of a Conical Frustum
You need the radii of both bases and the height.
Conical Frustum Volume Formula
The equation for a truncated cone.
Where 'h' is height, 'R' is the radius of the bottom base, and 'r' is the radius of the top base.
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Frequently Asked Questions
What is the difference between a cone and a frustum?
A cone comes to a single point (apex). A frustum has a flat top where the apex would have been.
Can I use the slant height instead of vertical height?
No, the volume formula specifically requires the vertical height between the two parallel bases.
What if R and r are equal?
If both bases are identical, the shape is no longer a frustum, it's a cylinder, and the formula simplifies to the cylinder volume formula.
Is a bucket a conical frustum?
Yes, standard round buckets are perfect examples of conical frustums.