Calculators > Solid Geometry > Conical Frustum Calculator

Conical Frustum Calculator

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r1 =
r2 =		Units:
h =


s = V = S = A =

Conical Frustum Geometric Shape

Conical Frustum Diagram with h = height and r = radius and l = lateral surface area
r1 = radius1
r2 = radius2
h = height
s = slant height
V = volume
S = lateral surface area
A = total surface area

Conical Frustum Formulas in terms of r and h: (Π = Pi)

Slant height of a conical frustum:
- s = √((r1 - r2)² + h²)
Volume of a conical frustum:
- V = (1/3) * Π * h * (r1² + r2² + (r1 * r2))
Lateral surface area of a conical frustum:
- S = Π * (r1 + r2) * s = Π * (r1 + r2) * √((r1 - r2)² + h²)
Total surface area of a conical frustum:
- A = Π * (r1² + r2² + (r1 * r2) * s) = Π * [ r1² + r2² + (r1 * r2) * √((r1 - r2)² + h²) ]

Conical Frustum Calculations:

Use the following additional formulas along with the formulas above.

Given radius1, radius2 and height calculate the slant height, volume, lateral surface area and total surface area.
Given r1, r2, h find s, V, S, A
- use the formulas above
Given radius1, radius2 and slant height calculate the height, volume, lateral surface area and total surface area.
Given r1, r2, s find h, V, S, A
- h = √(s² - (r1 - r2)²)
Given radius1, radius2 and volume calculate the height, slant height, lateral surface area and total surface area.
Given r1, r2, V find h, s, S, A
- h = (3 * v) / (Π * (r1² + r2² + (r1 * r2)))
Given radius1, radius2 and lateral surface area calculate the height, slant height, volume and total surface area.
Given r1, r2, S find h, s, V, A
- s = S / (Π * (r1 + r2))
- h = √(s² - (r1 - r2)²)
Given radius1, radius2 and total surface area calculate the height, slant height, volume and lateral surface area.
Given r1, r2, A find h, s, V, S
- s = [A/Π - r1² - r2²] / (r1 + r2)
- h = √(s² - (r1 - r2)²)