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Learning Outcome & Agenda

INSERT DATE HERE

I will apply the volume formula to solve problems involving cylinders by [how I will show my learning].

  1. Bellwork
  2. Activity 1
  3. Activity 2
  4. Activity 3
  5. Exit ticket & Clean Up

Announcements

INSERT ANNOUNCEMENT HERE

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What is Volume?

Notes

Volume is the amount of space an object takes up or can hold.

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What We Need to Review Part 1

Notes

Diameter = the length across a circle

= 2 times the radius

= 2r

Area of a Circle = πr2

Base Area (B) = πr2

π ≈ 3.14

Some answers are in terms of π (Example: 9π).

Some answers use 3.14159… for π and round.

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What We Need to Review Part 2

Notes

Exponents: 52 = 5 * 2

= 10

53 = 5 * 3

= 15

Exponents: 52 = 5 * 5

= 25

53 = 5 * 5 * 5

= 25 * 5

= 125

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Formula for the Volume of a Cylinder

Notes

Volume of a Cylinder = Bh

= πr2h

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Example for Finding the Volume of a Cylinder

Notes

Volume = Bh

= πr2h

= π(3)2(5)

= π(9)(5)

= 45π

= 45(3.14)

≈ 141.3 ft3

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Steps for Finding the Volume of a Cylinder

Notes

Volume = Bh

= πr2h

= π(3)2(5)

= π(9)(5)

= 45π

= 45(3.14)

≈ 141.3 ft3

Step 1: Plug in radius & height

Step 2: Square the radius

Step 3: Multiply the numbers

Step 4: Multiply by 3.14 for π

Step 5: Put unit in cubic form

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We Will Find the Volume of a Cylinder

Notes

Volume = Bh

= πr2h

= π(5)2(8)

= π(25)(8)

= 200π

= 200(3.14)

≈ 628 ft3

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We Will Find the Volume of a Cylinder

Notes

Volume = Bh

= πr2h

= π(5)2(8)

= π(25)(8)

= 200π

= 200(3.14)

≈ 628 ft3

Step 1: Plug in radius & height

Step 2: Square the radius

Step 3: Multiply the numbers

Step 4: Multiply by 3.14 for π

Step 5: Put unit in cubic form

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Your Team Will Find the Volume of a Cylinder

Notes

Example 1 Example 2

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Your Team Will Find the Volume of a Cylinder

Notes

Example 1

Volume = Bh

= πr2h

= π(4)2(10)

= π(16)(10)

= 160π

= 160(3.14)

≈ 502.4 ft3

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Your Team Will Find the Volume of a Cylinder

Notes

Example 2

Volume = Bh

= πr2h

= π(6)2(12)

= π(36)(12)

= 432π

= 432(3.14)

≈ 1356.48 ft3