# 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.

Table of Contents:

**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**.

**Find the volume.**

__Step 2__:Volume = (1/3)πr² h = (1/3) * 3.14 * 3² * 4 = 0.33 * 113.04 =

**37.68**.

**Find the curved surface area (CSA).**

__Step 3__:CSA = πrl = 3.14 * 3 * 5 =

**47.1**.

**Find the total surface area (TSA).**

__Step 4__:TSA = πr(l + r) = 3.14 * 3(5 + 3) = 3.14 * 3(8) = 3.14 * 24 =

**75.36**.