Cone Calculator

Cone Calculator



Volume
Height
Base Radius

Definition

Cone is a three dimensional (3D) geometric shape. It is a shape that has a circular base and it tapers smoothly to the top called the apex. There are two types of cone shapes:

  • Right Circular Cone: This cone is the one where the perpendicular (h) from the apex falls to the centre of the base.
  • Oblique Circular Cone: This cone is the one where the perpendicular (h) from the apex falls to the base but not at the center of the base.

Formula

RIGHT CIRCULAR CONE

Curved Surface AreaCSA of a Cone is claculated by the formula: Pi * Radius * √(Height² + Radius²)

Total Surface AreaTSA is calculated by the formula: CSA + (Pi * Radius²)

VolumeThis is calculated by the formula: Pi * (Radius)² * height / 3

DiameterDiameter is twice the radius of the Sphere and hence: 2* Radius

Slant HeightThis is often referred by the letter ‘l’. This is the length from the tip of the cone to the base of it along the surface. If you are given the height and base radius, slant height can be calculated by: √(Radius² + Height²)

PiThis is the ratio of Circumference of the Sphere to the Diameter of the Sphere. This is usually represented by the symbol “Π” and has a value of 3.14159…

Units: Measurement units of Area, Radius, and Circumference

Meter (m)is the base unit of length in the International System of Units (SI). Metre is defined as the distance travelled by light in a specific fraction (1299 792 458) of a second.

Other SI units: are millimeter (mm) ie 1/1000 of m, centimeter (cm) which is 1/100 of m and kilometer (km) which is equal to 1000m.

Other English units of measure of distance are
Mile: An English unit of length, it is equal to 1609 meters (m).
Yard: It is equal to 0.9144 meters (m).
Foot: It is equal to 0.3048 meters (m).