If you have a prism and a pyramid with the same base area and the same height, what is the relationship between their volumes? If you had a bowl of lentils, how many scoops from the pyramid would it take to fill the prism? Is the same true for a cylinder and a cone? Duration: 4:30

Let's formally state the volume formulae for a pyramid and a cone, then use one of them to find the volume of a solid of revolution formed by rotating a trapezoid around the y-axis. Duration: 8:02

In this Investigation, we once again use lentils to demonstrate how the volume of a cylinder is related to the volume of a sphere inscribed within it. Duration: 3:33

Using Archimedes' lentil-free discovery that the volume of a sphere is 2/3 of the volume of the cylinder that circumscribes it, we derive the volume formula for a sphere. Duration: 3:32