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GeoGebraClasse GeoGebra

Volume of a Cylinder and Pyramid Investigation

Use the sliders to change the radius (r) and height (h) of the cylinder and the cone. What is the relationship between the volumes of the cylinder and the cone when they have the same radius and height measurements? Move slider t such that the cone is inside the cylinder Make r = 1, and h = 2.1. What do you notice about the volumes of the cone and cylinder? What is the relationship?

Volume of Cones

Based on the activity above, what could be a possible formula for the volume of a cone?

Pyramids

Using the applet below, discover a formula for the volume of Pyramids. Move the two sliders to see what happens (the )

Volume of Pyramids

What could be a possible formula for the volume of pyramids?