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Activity 7: Comparing Cones: (GLE: 17)
CC: Have students work in pairs to construct a circle with a diameter of 7 inches and divide it into 8 equal arcs by marking points along the circle. Label these points A - H. Connect point A to the center of the circle designating the radius. Have students cut along the radius and form a cone by moving point A so that it lies on top of point B. Instruct students to measure the diameter, circumference, and height of the cone and to record the measures in a table. Have students calculate the volume of the cone. Next, have students form a second cone by sliding point A so that it lies on top of point C, etc. Each time a new sized cone is formed, have students record the diameter, circumference and height. After the students have completed forming cones by moving point A to at least 5 different locations, have them find the volume of each of the cones and develop a conjecture about how the change in circumference affects the volume.
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