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Volume of Cylinders Intro

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Volume of Cylinders Intro

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  1. TUESDAY • May 31st Sharpen Pencils & get a calculator Copy Agenda Complete the Warm-Up Quiz #2: Volume of Cylinders will be on Friday

  2. Warm-Up 3. Identify the 3D object. ________________ What is the radius? ________ What is the diameter? ________ What is the height? ________

  3. Warm-Up 3. Identify the 3D object. ________________ What is the radius? ________ What is the diameter? ________ What is the height? ________

  4. Warm-Up 3. Identify the 3D object. ________________ What is the radius? ________ What is the diameter? ________ What is the height? ________

  5. Warm-Up 3. Identify the 3D object. ________________ What is the radius? ________ What is the diameter? ________ What is the height? ________ cylinder

  6. Warm-Up 3. Identify the 3D object. ________________ What is the radius? ________ What is the diameter? ________ What is the height? ________ cylinder 3 units

  7. Warm-Up 3. Identify the 3D object. ________________ What is the radius? ________ What is the diameter? ________ What is the height? ________ cylinder 3 units 6 units

  8. Warm-Up 3. Identify the 3D object. ________________ What is the radius? ________ What is the diameter? ________ What is the height? ________ cylinder 3 units 6 units 5 units

  9. Warm-Up 3. Identify the 3D object. ________________ What is the radius? ________ What is the diameter? ________ What is the height? ________ cylinder 3 units 6 units 5 units C

  10. Warm-Up 3. Identify the 3D object. ________________ What is the radius? ________ What is the diameter? ________ What is the height? ________ cylinder 3 units 6 units 5 units C D

  11. Warm-Up 3. Identify the 3D object. ________________ What is the radius? ________ What is the diameter? ________ What is the height? ________ cylinder 3 units 6 units 5 units C D A

  12. Warm-Up 3. Identify the 3D object. ________________ What is the radius? ________ What is the diameter? ________ What is the height? ________ cylinder 3 units 6 units 5 units C D A B

  13. Volume Cylinder: Click here to view video

  14. Foldable: Volume Area of a Circle: Circumference of a Circle: Volume of a Cylinder:

  15. Area of a Circle d = Diameter Examples: Calculate the area. ex.1) ex.2) A = πr2 A = πr2 A = π52 A = π42 A = 25π A = 16π A ≈ 78.54 cm2 A ≈ 50.24 mm2 Formula: A = πr2 5cm 8 mm d Hint: square the radius and multiply by π. r r = Radius

  16. Circumference of a Circle d = Diameter Examples: Calculate the Circumference. ex.1) ex.2) A = 2πrA = πd A = 2π3 A = π20 A = 6π A = 20π A ≈18.84 cm A ≈ 62.8 ft Formula: C = 2πr or C = πd 20 ft. 3cm d Remember: 2r = d r r = Radius

  17. 2 m Volume of a Cylinder 6 m Formula: V = Bh or V = πr2h 5 m Examples: Calculate the Volume. ex.1) ex.2) V = πr2h V = πr2h V= π22•5 V= π32•10 V= π22•5 V= π32•10 V= π•4•5 V= π•9•10 V= 20π m3 V= 90π m3 V≈ 62.8 m3 V ≈ 282.74 m3 d 10 m h r d = Diameter r = Radius h = Height h B = Area of the base.

  18. Find the Volume: V = Bh V= π r2h 2 in. 12 in.

  19. Find the Volume: V = Bh V= π r2h 2 in. 12 in.

  20. Find the Volume: V= πr2h V= π r2h Step 1: Find the area of the base. Think: What shape is your base? 2 in. 12 in.

  21. Find the Volume: V= πr2h V= π r2h Step 1: Find the area of the base. Think: What shape is your base? 2 in. 12 in. The base is a circle!

  22. Find the Volume: V= πr2h V= π r2h Step 1: Find the area of the base. Think: What shape is your base? 2 in. 12 in. The base is a circle! Remember how to find the area of a circle?

  23. Find the Volume: V= πr2h V= π r2h Step 1: Find the area of the base. Think: What shape is your base? 2 in. 12 in. The base is a circle! Remember how to find the area of a circle? A= πr2

  24. Find the Volume: V= πr2h Step 1: find the area of the base. Remember: What shape is your base. Circle: remember how to find the area? A= π r2 2 in. 12 in. A = 3.14(2)2

  25. Find the Volume: V= πr2h Step 1: find the area of the base. Remember: What shape is your base. Circle: remember how to find the area? A= π r2 2 in. 12 in. A = 3.14(2)2 A= 3.14 (4)

  26. Find the Volume: V= πr2h Step 1: find the area of the base. Remember: What shape is your base. Circle: remember how to find the area? A= π r2 2 in. 12 in. A = 3.14(2)2 A= 3.14 (4) A≈12.56 in2

  27. Find the Volume: V= πr2h Step 2: Substitute your answers into the formula. 2 in. 12 in. V= 12.56(12) V = 150.72 in3

  28. Find the Volume: V= πr2h Step 2: Substitute your answers into the formula. 2 in. 12 in. V= 12.56(12) V = 150.72 in3

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