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1
INTRODUCTION 
• SREE NARAYANA COLLEGE, 
SREEKANDESWARAM 
• B.ED 2013-2014 
KERALA UNIVERSITY 
2
• SUBMITTED BY: 
RUPALATHA A S 
OPT: MATHEMATICS 
REG. NO: 13383005 
INTRODUCTION 
3
• SUBMITTED TO : 
GEETHA MISS 
4 
INTRODUCTION
VOLUME OF A CONE 
• A cone is given in the figure. 
5
• Pyramids with circular bases are actually called 
cones. 
• It has two sides: 
1. A Curved surface and 
2. A Circular base. 
6 
INTRODUCTION
• The height of a cone is the perpendicular distance 
from the vertex to the base and it can be 
measured as in the case of a pyramid. 
• It has a slant height and a height. 
• Slant height : √r²+h² 
where r = base radius, h = height 
7 
DESCRIPTION
• The surface of a cone consists of a curved surface 
made y bending a sector of circular base. 
• The area of the sector used to make the cone is 
the curve are known as lateral surface area of the 
cone. 
• The curved surface area of a cone of base radius r 
and height is πrl. 
8 
NARRATION
• The total surface area of a cone is πr(r + l) where 
r = base radius , and l = slant height. 
9 
NARRATION
• The volume of a cylinder of base radius r and 
height h is (πr)²h. 
• So the volume of a cone with the same base and 
height is one third the volume of the cylinder. 
• So the volume of a cone = 13 πr²h. 
10 
NARRATION
• From the top of a solid cone, a small conical 
piece is cut-off. 
• The remaining solid is called a frustum of the 
cone. 
11 
NARRATION
• If from the top of a cone, a smaller cone is cut-off 
by slicing parallel to the base, then base radius, 
height and the slant height of the two cones are 
proportional. 
12 
RESULT
13

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welcome

  • 1. 1
  • 2. INTRODUCTION • SREE NARAYANA COLLEGE, SREEKANDESWARAM • B.ED 2013-2014 KERALA UNIVERSITY 2
  • 3. • SUBMITTED BY: RUPALATHA A S OPT: MATHEMATICS REG. NO: 13383005 INTRODUCTION 3
  • 4. • SUBMITTED TO : GEETHA MISS 4 INTRODUCTION
  • 5. VOLUME OF A CONE • A cone is given in the figure. 5
  • 6. • Pyramids with circular bases are actually called cones. • It has two sides: 1. A Curved surface and 2. A Circular base. 6 INTRODUCTION
  • 7. • The height of a cone is the perpendicular distance from the vertex to the base and it can be measured as in the case of a pyramid. • It has a slant height and a height. • Slant height : √r²+h² where r = base radius, h = height 7 DESCRIPTION
  • 8. • The surface of a cone consists of a curved surface made y bending a sector of circular base. • The area of the sector used to make the cone is the curve are known as lateral surface area of the cone. • The curved surface area of a cone of base radius r and height is πrl. 8 NARRATION
  • 9. • The total surface area of a cone is πr(r + l) where r = base radius , and l = slant height. 9 NARRATION
  • 10. • The volume of a cylinder of base radius r and height h is (πr)²h. • So the volume of a cone with the same base and height is one third the volume of the cylinder. • So the volume of a cone = 13 πr²h. 10 NARRATION
  • 11. • From the top of a solid cone, a small conical piece is cut-off. • The remaining solid is called a frustum of the cone. 11 NARRATION
  • 12. • If from the top of a cone, a smaller cone is cut-off by slicing parallel to the base, then base radius, height and the slant height of the two cones are proportional. 12 RESULT
  • 13. 13