Right Circular Cone Calculator

This calculator computes all properties of a right circular cone given any two known values using direct formulas for reliable results.

Base Area: \( B_a = \pi r^2 \)

Lateral Area: \( L_a = \pi r s \)

Total Area: \( T_a = \pi r^2 + \pi r s \)

Volume: \( V = \frac{1}{3}\pi r^2 h \)

Slant Height: \( s = \sqrt{r^2 + h^2} \)

Height: \( h = \sqrt{s^2 - r^2} \)

Radius: \( r = \sqrt{s^2 - h^2} \)

Note: All dimensions must be positive. For slant height (s), ensure s > r and s > h.

Simple Cone Calculator

Select any two known parameters - all modes use direct formulas

Calculation Mode

s = √(r² + h²)

Radius (r)

Height (h)

Slant Height (s)

Volume (V)

Lateral Area (Lₐ)

Total Area (Tₐ)

Decimal Places

Radius (r) -- units

Height (h) -- units

Slant Height (s) -- units

Volume (V) -- units³

Lateral Area (Lₐ) -- units²

Total Area (Tₐ) -- units²

r & h → s = √(r²+h²)

r & s → h = √(s²-r²)

h & s → r = √(s²-h²)

r & V → h = 3V/(πr²)

h & V → r = √(3V/(πh))

r & Lₐ → s = Lₐ/(πr)

s & Lₐ → r = Lₐ/(πs)

r & Tₐ → s = (Tₐ-πr²)/(πr)

s & Tₐ → Solve πr²+πsr-Tₐ=0

Lₐ & Tₐ → r = √((Tₐ-Lₐ)/π)