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# Rajuk uttara model college md saifur rahman

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### Transcript

• 1. MD Saifur Rahman Lecturer (Mathematics) RAJUK Uttara Model College
• 2. Welcome To Math Class
• 3. &nbsp;
• 4. (a +b) 2 = a 2 + 2ab + b 2 (a -b) 2 = a 2 - 2ab + b 2 (a +b) 3 = a 3 + 3a 2 b + 3ab 2 +b 3 (a -b) 3 = a 3 - 3a 2 b + 3ab 2 -b 3 Area of circle  r 2 Circumference of circle 2  r Surface area of cone  rl Volume of cylinder  r 2 h Volume of cone 1/3  r 2 h Surface area of cylinder 2  rh +  r 2
• 5. Bangladesh Parliament Nehru centre
• 6. Cylinder
• 7. Yakhchal of Yazd province
• 8. Cone
• 9. &nbsp;
• 10. Learning Outcomes Students will be able to Measure the surface area of a cylinder and a cone Find out the volume of a cylinder and a cone Identify the shape of the surface of a cylinder and a cone
• 11. Identify Cone and Cylinder shapes in the following Rocket Glass Tent Water Tank
• 12. How many surfaces are there ? How many parts are there to color in this candle ?
• 13.  r 2  r 2 2  r h 2  rh Surface Area
• 14. h Radius, r Volume = Area of base × height =  r 2 × h
• 15. The length and the breadth of a book is 25 cm and 15 cm. When it revolves around the greatest side then find the surface area and volume of that solid. 25 cm 15 cm Problem : 1 ( Pair work)
• 16. Greatest side Rectangle Cylinder
• 17. ` Height, h Radius, r Slant length, l Slant length, l Circumference , 2 πr
• 18. Slant length, l Slant length, l a a b c d e f g h i j k l m n o p q Total Area = ½ la + ½ lb + ½ lc +……………….+ ½lq Total Area = ½ l (a + b + c + d+ ….. +q) Total Area = ½ l ( 2 πr ) = πlr Area = Area =  Base  Height  l  a
• 19.  rl Surface Area  r 2
• 20. Volume
• 21. Two sides of a right angle triangle are 5 cm and 3.5 cm. If the triangle revolves around its longest side then find the surface area and volume of the solid shape formed. 5 cm 3.5cm Problem : 2 (Individual Work)
• 22. Right angle triangle Cone
• 23. Group Work The height of a cone-shaped tent is 7.5 m. How much canvas is needed to cover 2000 square metres of land?
• 24. Home Work Every student should create a problem related to a Cone or Cylinder &amp; bring it to the next class so other students can try to solve it.