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VOLUME OF CONES AND CYLINDERS LESSON 25

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Volume of Cylinders The amount of space that an object occupies is the volume of the object. To calculate volume of a cylinder, take the product of the area of its base and its height. V = Area of base x height Volume is measure in cubic units.

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Volume of Cylinder To find the volume, calculate the area of the base and multiply by the height. Circles A = A = (3.14)(5)2 A = 78.5 cm2 Height = 20 cm V = h = 78.5(20) = 1570 cm3 V = Area of base x height

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YOU TRY! To find the volume, calculate the area of the base and multiply by the height. V = Area of base x height

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SOLUTION To find the volume, calculate the area of the base and multiply by the height. Circles A = A = (3.14)(4)2 A = mm2 Height = 8 mm V = h = 50.24(8) = mm3 V = Area of base x height

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Volume of Cone To find the volume, Multiply of the volume of a cylinder 1 3 1 3 Circles A = A = (3.14)(5)2 A = 78.5 m2 V = h = 78.5(9) = m3 V = h = = m3 706.5 3 Height = 9 m 1 3 V = Volume of cylinder

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**YOU TRY! To find the volume, Multiply of the volume of a cylinder 1 3**

V = Volume of cylinder

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**SOLUTION To find the volume, Multiply of the volume of a cylinder 1 3**

Circles A = A = (3.14)(6)2 A = cm2 V = h = (9.5) = cm3 V = h = = cm3 3 Height = 9.5 cm 1 3 V = Volume of cylinder

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**LETS REVIEW bh 2 V = Area of base x height Volume of Rectangular Prism**

V = lwh Volume of Rectangular Prism V = Area of base x height Volume of a Triangular Prism bh 2 V = (h) 1 3 V = Area of base x height Volume of a Pyramid 1 3 V = Volume of cylinder V = h Volume of a Cone 1 3

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LETS REVIEW V = Area of base x height V = h Volume of Cylinder

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**Class work Check solutions to Lesson 24**

Copy down examples and notes to this lesson. Complete Lesson 25 worksheet

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6-6 Volume of prisms and Cylinders

6-6 Volume of prisms and Cylinders

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