Cone

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Cone

  1. 1. BUGENVIL Presentated byAnnisa Khairati SalamAnnisa Roudlotul JannahAntania Nur’ AvyantiHazna Putri SalsabillaLina NuruzzatiWike Maylani
  2. 2. CONEa.) Definition of Cone A cone is a dimensional geometric shape that tapers smoothly from a base (usually flat and circular) to a point called the apex or vertex.h : heights : slant heightr : radius
  3. 3. B. ELEMENTS OF A CONEa) A cone has 2 planes, namely the base and the right planes. The base is circular plane of radius r or BO, while the right plane is a curved which is also called curved surface.
  4. 4. b) A cone has an edge, that is the base edge which is in the form of a circle. Circle
  5. 5. c) The line segment joining point O to A is called the height of the cone. Usually it is notated by h or t.d) The line segment of the curved surface joining vertex A and the points of the circle are called slant heights. A slant height is usually notated by s or l.
  6. 6. C. PaRt of Cone The circle at the bottom of a cone defines the shape of the cone, so all of the parts of a circle are important parts of a cone. For example, the radius is an integral part of finding the volume of a cone.
  7. 7. D. THE SURFACE AREA OF A CONE Sector TAA’ is in the circle of radius TA or of radius s/l, so that :The area of sector TAA’ = the length of arc AA’The circle area the circle circumferenceThe area of sector TAA’ = 2πr πs 2 2πsThe area of sector TAA’ = 2πr × πs 2 2πsThe area of sector TAA’ = πrsThe area of the curved surface = the area of sector TAA’ = πrs
  8. 8. The surface area of a cone is equal to thearea of its net, or it can be expressed by thefollowing formula.L = area of curved surface + circle area = π rs + π r2 = π r (s + r)
  9. 9. The formula of the surface area of a cone is: L = π r (s + r) Where L = the surface area of the cone π = 22 or π = 3,14 7 r = circle radius (base plane of the cone) s = slant height of the cone
  10. 10. E.) EXAMPLE1) A cone has a base radius of 7 cm. If the area of its curved surface is 550 cm2 and π = 22 find : 7 a. The slant height b. The surface area of the cone c. The height of the cone
  11. 11. Solution: Given that r = 7 cm, area of curved surface = 550 cm2, and π = 22 7a. The area of curved surfaces = π rs 550 = 22 × 7 × s 7 550 = 22s s = 550 22 s = 25 cm
  12. 12. b. L = π r (s + r) = 22 × 7 × (25 + 7) 7 = 22 × 32 = 704 cm2c. ⇔ t = 24 cm.
  13. 13. F.) EXERCISE1) A cone has a base radius of 14 cm. If the area of its curved surface is 957 cm2 and π = 22 find 7 a. The slant height b. The surface area of the cone
  14. 14. Solution: Given that r = 7 cm, area of curved surface = 957 cm2, and π = 22 7a. The area of curved surfaces = πrs 957 = 22 × 7 × s 7 957 = 22s s = 957 22 s = 29 cm
  15. 15. b. L = π r (s + r) = 22 × 7 × (29 + 7) 7 = 22 × 36 = 792 cm2
  16. 16. QUOTES If A is a success, then the formula is A = X + Y + Z, where X is the working, Y is play, and Z is keep your mouth to keep it closed.Jika A adalah ‘sukses’, maka rumusnya adalah ‘A=X+Y+Z’, dimana X adalah ‘kerja’, Y adalah ‘bermain’, dan Z adalah jaga mulut anda agar tetap tertutup.Pendidikan adalah mata uang yang berlaku di seluruh dunia
  17. 17. VISIT :http://www.deepyudha.blogspot.com/ Our beloved teacher Lilis Yuningsih, S.Pd,MM
  18. 18. THANKS FOR YOURATTENTION 

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