# Cone Tutorial

## Cone Tutorial

##### Cone Definition:

A cone is a three-dimensional geometric shape consisting of all line segments joining a single point to every point of a two-dimensional figure.

#### Cone Formula:

Slant height of Cone(l) = Sqrt(r² + h²) Volume of Cone = (1/3)πr²h Curved Surface Area(CSA) of Cone = πrl Total Surface Area(TSA) of Cone = πr(l + r)
###### where
r = radius, l = slant height, h = height
##### Cone Image/Diagram ##### Case 1:

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)πr²h = (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. The above example will clearly illustrates how to calculate the Volume, Curved Surface and Total Surface Area of a Cone manually.

#### Related Calculator:

This tutorial will help you dynamically to find the Math area problems.