Cone Frustum Volume Calculator
Find the volume of a conical frustum from its bottom radius, top radius, and height. Slant height, lateral area, and total surface area are computed too.
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Input
Enter the bottom radius R, top radius r, and height h to compute the volume of a cone frustum. Slant height, lateral area, and surface area are shown too.
Result
Volume
175.929189
Slant height
6.324555
Lateral area
119.215059
Surface area
182.046912
Length units match your input, areas are squared, and volume is cubed.
How it works
- Volume is computed as V=(pi h/3)(R²+Rr+r²), where R is the bottom radius, r is the top radius, and h is the height.
- The slant height is l=√((R−r)²+h²), the distance along the slanted side of the frustum.
- Lateral area is pi(R+r)l, and total surface area adds both circular ends: piR²+pir²+pi(R+r)l.
- Length units match your input, areas are squared, and volume is cubed. For example, entering cm gives a volume in cm³.
- Setting the top radius r to 0 reproduces the values of an ordinary cone.
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