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Frustum (Truncated Cone) Calculator

r
R

Result

Volume527.79 cm³
Total Surface Area382.95 cm²
Lateral Area241.58 cm²
Slant Height8.54 cm
↗ Math

Frustum (Truncated Cone) Calculator — free online calculator.

Formula

l = √(h²+(R−r)²); V = (πh/3)(r²+R²+rR); Lateral = π(r+R)l; Total = Lateral+πr²+πR²
  • Frustum (Truncated Cone) Calculator calculates its result from Height, Rate (decimal), Pih, Rr, Pir. It uses the formula l = √(h²+(R−r)²); V = (πh/3)(r²+R²+rR); Lateral = π(r+R)l; Total = Lateral+πr²+πR². Change any input to recalculate the result instantly.
  • The main inputs are Top Radius, Bottom Radius, Height. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Frustum (Truncated Cone)

Inputs
  • Top Radius: 3
  • Bottom Radius: 6
  • Height: 8

Using Height = 2, Rate (decimal) = 0.05, Pih = 4, Rr = 5, Pir = 6, the calculated result is 72.6283185307.

Sample result: Calculating…

Frequently asked questions

What does the Frustum (Truncated Cone) calculate?

Frustum (Truncated Cone) Calculator — free online calculator.

Which values should I enter?

Enter Top Radius, Bottom Radius, Height using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: l = √(h²+(R−r)²); V = (πh/3)(r²+R²+rR); Lateral = π(r+R)l; Total = Lateral+πr²+πR².

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 10, 2026