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Volume of a Cylinder and Cone Today we will answer the very important question …. Which holds more ice cream; a small cup or a cone? Predictions?

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We know volume is the amount of cubic units that fill a 3-D object. We want to know how to calculate volume for a cylinder and a cone. We will learn how to use our volume formulas to see how much ice cream a cup and cone can hold.

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Previous Formulas Learned Area and Circumference of a Circle Formula to find the area of a circle:The formula to find the circumference of the circle: Area is the space inside of an object. Circumference is the perimeter (length outside) of a circle. Today’s 3D shapes have bases that are circles. We will be using the Area formula to help us find our Volume.

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Volume of a Cylinder Label the BASE and HEIGHT of the cylinder below: Base of the Cylinder! Height of the Cylinder! What shape is the base of a cylinder?A CIRCLE

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Cylinder Formula B = Area of the base h = Height r = Radius = Pi = 3.14

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Cone Formula 3 3

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Cone How does are a cone and cylinder related? https://www.youtube.com/watch?v=0ZACAU4SGyM

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Volume of Cylinders Class Practice 10 cm 18 cm The diameter is 10. What is the radius? 5

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Volume of Cylinders Class Practice 7 cm 12 cm The diameter is 7. What is the radius? 3.5

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Volume of Cones Class Practice 12 cm 20 cm 3 The diameter is 12. What is the radius? 6

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Volume of Cones Class Practice 8 cm 11 cm 3 The diameter is 8. What is the radius? 4

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Volume of Cones Class Practice 16 cm 30 cm 3 The diameter is 16. What is the radius? 8

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A Note on Measuring Height of a Cone

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Activity: Which will hold more ice- cream; a cup or a cone? You will need: Graph paper (one for the cone, one for the cylinder) Activity Worksheet Cup Cone Extra-practice Worksheet if you finish early.

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