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Circular Cone Geometric Shape

r = radius
h = height
s = slant height
V = volume
S = lateral surface area
A = total surface area
Circular Cone Formulas in terms of r and h: (Π = Pi)
- Volume of a cone:
- Slant height of a cone:
- Lateral surface area of a cone:
- S = Π * r * s = Π * r * √(r2 + h2)
- Total surface area of a cone:
- A = (Π * r * s) + (Π * r2) = Π * r * (s + r) = Π * r * (r + √(r2 + h2))
Circular Cone Calculations:
Use the following additional formulas along with the formulas above.
- Given radius and height calculate the slant height, volume, lateral surface area and total surface area.
Given r, h find s, V, S, A
- Given radius and slant height calculate the height, volume, lateral surface area and total surface area.
Given r, s find h, V, S, A
- Given radius and volume calculate the height, slant height, lateral surface area and total surface area.
Given r, V find h, s, S, A
- Given radius and lateral surface area calculate the height, slant height, volume and total surface area.
Given r, S find h, s, V, A
- s = S / (Π * r)
- h = √(s2 - r2)
- Given radius and total surface area calculate the height, slant height, volume and lateral surface area.
Given r, A find h, s, V, S
- s = [A - (Π * r2)] / (Π * r)
- h = √(s2 - r2)
- Given height and slant height calculate the radius, volume, lateral surface area and total surface area.
Given h, s find r, V, S, A
- Given height and volume calculate the radius, slant height, lateral surface area and total surface area.
Given h, V find r, s, S, A
- r = √[ (3 * v) / (Π * h) ]
- Given slant height and lateral surface area calculate the radius, height, volume, and total surface area.
Given s, S find r, h, V, A
- r = S / (Π * s)
- h = √(s2 - r2)
See also Cone Formulas
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