This document discusses cones and provides formulas for calculating properties of cones. It defines a cone as a solid with a circular base and single vertex. Formulas are given for calculating the total surface area, lateral surface area, and volume of a cone. Examples of cones used in daily life include ice cream cones, birthday hats, firework packaging, machine parts, and pen ends.

1. CONE
Done by
Gopika Anand

2. The Power Point consists of:
 What is a cone?
 Formulas of Cone:-
 Total Surface Area
 Lateral Surface Area
 Volume
 Cones used in daily life.

3. CONE
A cone is a solid that has a
circular base and a single
vertex. If the vertex is over
the center of the base, it is
called a right cone. If it is
not, it is called an oblique
cone. An object that is
shaped like a cone is said to
be 'conical'.
More precisely, it is the solid
figure bounded by a base in a
plane and by a surface (called
the lateral surface).

4. FORMULAS OF CONE
r=Radius of base of
cone
h=Height of cone
l=Length of cone
If length not given:-
Length= h2+r2
(Pythagoras Theorem=
c2 = a2+b2 )

5. CURVED SURFACE AREA OF CONE
Curved Surface Area of Cone(CSA)= rl

6. TOTAL SURFACE AREA OF CONE
• Total Surface Area of Cone(TSA) =base area+CSA
= r 2 + rl
= r(l+r)

7. VOLUME OF CONE

8. VOLUME OF A CONE VS CYLINDER
The volume formulas for cones and cylinders are :
The volume of a cylinder is:π × r2 × h
The volume of a cone is:π × r2 × (h/3)
So, the only difference is that a cone's volume is one third
(1/3) of a cylinder's.
So, in future, order your ice creams in cylinders, not
cones, you get 3 times more!

9. FORMULAS

10. CONES USED IN DAILY LIFE
 ice cream cones
 Birthday Caps
 packaging for
fireworks
 machine parts (like
airplanes, etc.)
 ends of pens