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Circular Cone Formulas in terms of r and h: (Π = Pi)

• Calculate volume of a cone:
  • V = (1/3) * Π * r^2 * h
• Calculate the slant height of a cone:
  • s = √(r^2 + h^2)
• Calculate the lateral surface area of a cone:
  • S = Π * r * s = Π * r * √(r^2 + h^2)
• Calculate the total surface area of a cone:
  • A = (Π * r * s) + (Π * r^2) = Π * r * (s + r) = Π * r * (r + √(r^2 + h^2))

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
  • use the formulas above
• Given radius and slant height calculate the height, volume, lateral surface area and total surface area.
  Given r, s find h, V, S, A
  • h = √(s^2 - r^2)
• Given radius and volume calculate the height, slant height, lateral surface area and total surface area.
  Given r, V find h, s, S, A
  • h = (3 * v) / (Π * r^2)
• 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 = √(s^2 - r^2)
• 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 * r^2)] / (Π * r)
  • h = √(s^2 - r^2)
• Given height and slant height calculate the radius, volume, lateral surface area and total surface area.
  Given h, s find r, V, S, A
  • r = √(s^2 - h^2)
• 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 = √(s^2 - r^2)

See also Cone Formulas