 # Cone Calculator A cone is a three dimensional geometric shape with one vertex and a circular base. The line form the centre of the base to the apex is the perpendicular height.

Calculate the area, volume, height of Cone (Cone Calculator)

Formula

Slant height of Cone (l) = Sqrt(r² + h²)

Volume of Cone = (1/3)πr² h
Curved Surface Area (CSA) of Cone = πrl

Total Surface Area (TSA) of Cone = πr(l + r)
where,
r = radius, l = slant height, h = height, π = 3.14

A Cone is a geometric shape formed by having a circle at one end, usually at a base. It consists of all line segments joining to a single point to every point of a two-dimensional figure.
Illustrated Examples:

Find the volume, curved surface, and total surface area of a cone with the given radius 3 and height 4.

Step 1: Find the slant height.
Slant height (l) = Sqrt(r² + h²) = Sqrt(3² + 4²)= Sqrt(9 + 16) = Sqrt(25) = 5.

Step 2: Find the volume.
Volume = (1/3)πr² h = (1/3) * 3.14 * 3² * 4 = 0.33 * 113.04 = 37.68.

Step 3: Find the curved surface area (CSA).
CSA = πrl = 3.14 * 3 * 5 = 47.1.

Step 4: Find the total surface area (TSA).
TSA = πr(l + r) = 3.14 * 3(5 + 3) = 3.14 * 3(8) = 3.14 * 24 = 75.36