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Frustum Calculator
A Frustum is a three-dimensional geometric shape which resembles a cone with the top cut off.
The top and base diameters are parallel and on the centre of axis.
| Dimension | Value |
|---|---|
| Height (h) | |
| Slope Height (s) | |
| Top Diameter (d1) | |
| Base Diameter (d2) | |
| Top Radius (r1) | |
| Base Radius (r2) | |
| Top Surface Area (T) | |
| Lateral Surface Area (L) | |
| Base Surface Area (B) | |
| Total Surface Area (A) | |
| Volume (V) | |
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The Frustram Calculator uses the following Math Formula
Slope Height of a Frustrum Formula
s = √( (r2 - r1)2+h2)
Surface area of the top of a Frustrum Formula
T = πr12
Surface area of the base of a Frustrum Formula
B = πr22
Lateral surface area of a Frustrum Formula
L = π x (r1 + r2) x s
Total area of a Frustrum Formula
a = T + B + L
Volume of a Frustrum Formula
V = (1/3) x π x h x (r12 + r22 + (r1 * r2) )
Where:
- h: The vertical height of the frustum
- s: The length of the sloped side
- d1: Diameter of the top, equal to twice the top radius
- d2: Diameter of the base, equal to twice the base radius
- r1: Radius of the top of the frustum, equal to half the top diameter
- r2: Radius of the base, equal to half the base diameter
- T: Surface area of the top in square units
- L: The Lateral surface area in square units
- B: Surface area of the circular base in square units
- A: A Total surface area in square units
- V: The volume of the frustum in cubic units