iCalculator™ Math

Conical Frustum Calculator

Conical Frustum Volume, Surface Area and Height Calculator
Conical radius value (r1)
Conical radius value (r2)
Conical height (h)
Conical Frustum Calculator Results
Volume (V) = m3
Slant Height (S) = m
Lateral Surface Area (L) = m
Top Surface Area (T) = m
Base Surface Area (B) = m
Total Surface Area (A) = m

Conical Frustum Volume, Surface Area and Height Calculator

A conical frustum is a 3D solid formed by cutting a cone with a plane parallel to its base. It has two circular bases of different sizes connected by a curved surface. The volume, surface area, and height of a conical frustum can be calculated using the following formulas:

Volume of a Conical Frustum

V = (1/3)πh(R^2 + r^2 + Rr)
  • V: volume of the conical frustum
  • h: height of the conical frustum
  • R: radius of the larger circular base
  • r: radius of the smaller circular base

Surface Area of a Conical Frustum

A = π(R + r)l + π(R^2 + r^2)
  • A: surface area of the conical frustum
  • R: radius of the larger circular base
  • r: radius of the smaller circular base
  • l: slant height of the conical frustum

Height of a Conical Frustum

h = (l^2 - (R - r)^2)^(1/2)
  • h: height of the conical frustum
  • R: radius of the larger circular base
  • r: radius of the smaller circular base
  • l: slant height of the conical frustum

Use our online calculator to find the volume, surface area, and height of a conical frustum. Enter the values for the upper radius, lower radius, and slant height, and the calculator will instantly display the results.