Use the sliders to change the radius (r) and height (h) of the cylinder and the cone.[br][br]What is the relationship between the volumes of the cylinder and the cone when they have the same radius and height measurements?[br][br]Move slider t such that the cone is inside the cylinder[br][br]Make r = 1, and h = 2.1. What do you notice about the volumes of the cone and cylinder? What is the relationship?
Based on the activity above, what could be a possible formula for the volume of a cone?
[math]f\left(x\right)=\frac{1}{3}\pi r^2h[/math]
Using the applet below, discover a formula for the volume of Pyramids.[br]Move the two sliders to see what happens (the [math]\alpha,\beta[/math])
What could be a possible formula for the volume of pyramids?
[math]f\left(x\right)=\frac{1}{3}Bh[/math]