Radius and vertical height
Radius r + Vertical height h
l = √(r²+h²); V = πr²h/3
Open calculator ↗GEOMETRY, ONE FIGURE AT A TIMERight circular cone.
Right circular cone.
Understand every measure.
Separate slant height from vertical height. Four free tools, clear formulas and a little discovery along the way.
Find your calculator ↗FIGURE 203D / REFERENCE DRAWING
RIGHT CIRCULAR CONENOT TO SCALE
THE CALCULATOR DESK
Start with what you know.
4 calculators available
Radius and slant height
Radius r + Slant height l
h = √(l²−r²)
Open calculator ↗Volume and radius
Volume V + Radius r
h = 3V/(πr²)
Open calculator ↗Total surface area and radius
Total surface area S + Radius r
l = S/(πr)−r; h = √(l²−r²)
Open calculator ↗MEET THE FIGURE
A right circular cone, explained.
A right circular cone has a circular base and an apex directly above its centre. Its vertical height h is perpendicular to the base, while slant height l follows the surface from apex to the base rim.
Understand the properties ↗LOOK A LITTLE CLOSER
More than a formula.
Unrolling the curved surface forms a circular sector of radius l.
Use vertical height in the volume formula. Slant height must exceed the radius for a non-degenerate right cone.
Explore three geometry facts ↗These tools use ideal Euclidean geometry. Every input must use the same unit. Numerical results are rounded and do not replace measurement, specialist design or safety checks. See worked examples.