# Cones - Overview

__Cone Facts:__**Notice these interesting things:**

- It has a flat base
- It has one curved side

- The pointy end of a cone is called the
**apex** - The flat part is the
**base** - An object shaped like a cone is said to be
**conical**

**The Surface Area has two parts:**

__Surface Area of a Cone:__- The
*Base Area*= π × r^{2} - The
*Side Area*= π × r × s

**Surface Area = π × r × (r + s)**Note: we can calculate

**s = √(r**

^{2}+h^{2})**h = 7 and r = 2 Surface Area of Base= π × r**

__Example:__^{2} = π × 2

^{2} = 4π ≈

**12.57**Surface Area of Side= π × r × √(r

^{2}+h

^{2}) = π × 2 × √(2

^{2}+7

^{2}) = π × 2 × √(4+49) = 2π√(53) ≈

**45.74**Total Surface Area ≈ 12.57 + 45.74 ≈

**58.31**

__Volume of a Cone:__**Volume = 1/3 π × r**

^{2 }× h**h = 7 and r = 2 Volume= 13 π × r**

__Example:__^{2}

^{}× h = 13 π × 2

^{2}

^{}× 7 = 283 π ≈

**29.32**The volume formulas for cones and cylinders are very similar:

__Volume of a Cone vs Cylinder:__The volume of a cylinder is: | π × r^{2 }× h |

The volume of a cone is: | 1/3 π × r^{2 }× h |

**So a cone's volume is exactly one third ( 13 ) of a cylinder's volume.**

__Different Shaped Cones:__**Construction Cone**This is

*a cone, but the top is chopped off (called a "truncated cone"). Also it has a wider base added so it doesn't fall over!*

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