FNBE0214 CONE 0318695

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  • 1. CONE

2. CONE DEFINITION:-a 3-dimensional solid objectthat has :a) circular base,b) one vertex. 3. Vertex:a cornerFor example, a trianglehas 3 vertices. 4. How do wedetermine which isa cone? 5. Has acircularbaseOne vertexonly 6. Volume of a cone 7. Example:Volume of a cone formula = 1/3 r2H= 3.142r = 3 cmH = 11 cmVolume of a cone= 1/3 r2H= 1/3 (3.142) (3)2 (11)= 103.69 cm3 8. What if given slanted height but not height of cone?Phythagoras Theorem5cm3cmX cm 9. 5cm3cmX cm( X2 + 32) = 52X2 = 52 32X2 = 16X=16X= 4cm 10. Oblique Cone? 11. Definition :-A cone with an vertexthat is not aligned abovethe centre of the base. 12. Oblique Cone Right Cone 13. Vertex notaligned atthe centreof the base 14. Vertex is notaligned at thecentre of baseHeight of vertex isin the center of thecircle 15. FormulaVolume of an oblique cone= 1/3 (area of base)(coneheight)= 1/3 BhB= r2 16. Formula of oblique cone = 1/3 BhB= r2 = 3.142r = 3 cmH = 9 cmVolume of obliquecone= 1/3 Bh= 1/3 r2h= 1/3 (3.142) (3)2(9)= 84.83 cm3Example:Given radius of base is 3 cm,height of cone is 9 cm.Calculate the volume of theoblique cone. 17. Conclusion 18. Volume of an oblique cone= 1/3 BhVolume of a right cone= 1/3r2 HB= Area of base r2 = Area of baseB = Area of base = r2Formula to find volume of obliquecone and right cone is the same. 19. Surface area of ConeA=r2+rL 20. The End