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Volume of Cylinders

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Volume of Cylinders

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

  2. Warm-Up 2. A cylinder has a base diameter of 8 centimeters and a height of 7 centimeters. What is its volume in cubic centimeters, to the nearest tenths place? • The diameter of a circle is 5 ft. Find its area to the nearest tenth. Formula: Substitute: Solve: Label: Step 1: Identify variables h = d = r = Step 2: Write out formula Step 3: Substitute values into the formula Step 4: Solve Step 5: Label

  3. The diameter of a circle is 5 ft. Find its area to the nearest tenth. • Warm-Up

  4. Warm-Up A cylinder has a base diameter of 8 centimeters and a height of 7 centimeters. What is its volume in cubic centimeters, to the nearest tenths place? Step 1: Identify variables h = 7 d = 8 r = 4 Step 2: Write out formula Step 3: Substitute values into the formula Step 4: Solve Step 5: Label

  5. 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 ≈18.85 cm A ≈ 62.83 ft Formula: C = 2πr or C = πd 20 ft. 3cm d Remember: 2r = d r r = Radius

  6. 2 m Volume of a Cylinder 6 m Formula: V = Bh or C = πr2h 5 m Examples: Calculate the Volume. ex.1) ex.2) C = πr2h C = 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≈ 62.83 m3 V ≈ 282.74 m3 d 10 m h r d = Diameter r = Radius h = Height h B = Area of the base.

  7. If time remains Let’s get some homework done!!

  8. Practice - Volume of a Cylinder

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