Cone Calculator
Calculate the volume, surface area, slant height, and other properties of a cone.
Cone Dimensions
Cone Diagram
Cone Formulas
Slant Height:l = sqrt(r^2 + h^2)
Volume:V = (1/3) x pi x r^2 x h
Lateral Area:A_l = pi x r x l
Total Area:A = pi x r x (r + l)
Volume
261.7994
cubic units
VVolume
261.7994
ATotal Surface Area
254.1602
A_lLateral Area
175.6204
A_bBase Area
78.5398
Additional Properties
Slant Height (l)11.1803
Diameter10.0000
Base Circumference31.4159
Half Apex Angle26.57
Step-by-Step Calculation
Given: r = 5, h = 10
Slant height: l = sqrt(5^2 + 10^2) = 11.1803
Volume: V = (1/3) x pi x 5^2 x 10 = 261.7994
About Cones
Definition
A cone is a three-dimensional geometric shape that tapers smoothly from a circular base to a point called the apex or vertex.
Real-World Examples
- Ice cream cones
- Traffic cones
- Party hats
- Funnels