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Learn how to calculate the volume of cones and cylinders using plastic space figures. By filling a cone with water and pouring it into a cylinder, explore the relationship between the two shapes. Calculate the volume of a cone that can fill a cylinder three times, using the formula V = 1/3 πr^2h. In this educational activity, discover the concept of volume in geometry through hands-on experimentation.
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Volume of Cones [Student Name] [Date]
Volume of Cylinders • Volume = Base x height • V = Bh • Base area = r2 B r h
r r h Compare Cone and Cylinder • Use plastic space figures. • Fill cone with water. • Pour water into cylinder. • Repeat until cylinder is full.
Volume of Cone? • 3 cones fill the cylinder, so… • Volume = ⅓Base x height =
h = 7 cm r =2.5 cm Volume of Cone • 3 cones fill the cylinder • Volume = ⅓Base x height • V = ⅓Bh • Base area = r2 • V = ⅓ ( . 2.5 2). 7 • V = ⅓ 3.14 . 6.25. 7 • V = 45.79 cm3