Cone
Go to Surface Area or Volume.
Cone Facts
Notice these interesting things:
 It has a flat base
 It has one curved side
 It is not a polyhedron as it
has a curved surface

A Cone is a Rotated TriangleA cone is made by rotating a triangle! The triangle has to be a rightangled triangle, and it gets rotated around one of its two short sides. The side it rotates around is the axis of the cone. 
Surface Area of a Cone
Surface Area = π × r × (r + s)
Which is made up of:
 Surface Area of Base = π × r^{2}
 Surface Area of Side = π × r × s
 OR Surface Area of Side = π × r × √(r^{2}+h^{2})
Example: h = 7 and r = 2
Surface Area of Base  = π × r^{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^{})  
= 2√(53^{}) × π  
≈ 45.74 
Total Surface Area ≈ 12.57 + 45.74 ≈ 58.31
Volume of a Cone
Volume = \frac{1}{3} π × r^{2 }× h
Example: h = 7 and r = 2
Volume  = \frac{1}{3} π × r^{2} ^{ }× h  
= \frac{1}{3} π × 2^{2} ^{ }× 7  
= \frac{28}{3} π  
≈ 29.32 
Volume of a Cone vs Cylinder
The volume formulas for cones and cylinders are very similar:
The volume of a cylinder is:  π × r^{2 }× h 
The volume of a cone is:  \frac{1}{3} π × r^{2 }× h 
So a cone's volume is exactly one third ( \frac{1}{3} ) of a cylinder's volume.
In future, order your ice creams in cylinders, not cones, you get 3 times as much!
Different Shaped Cones