Consider three shapes - a sphere of radius R, a right circular cone whose base is a circle of radius R and whose height is R, and a cylinder of radius R and height R.
Drag the YELLOW dot on the horizontal axis in the left panel to vary the value of R.
[Please note that the left panel consists of two sets of graphs - VOLUMES that are measured in cm^{3} and surfaces that are measured in cm^{2}. The labels of traced VOLUMES are in UPPER CASE. The labels of traced surfaces are in lower case.]
How is this applet related to the applet entitled "An Homage to Archimedes" on the MathMindHabits website?
What questions could / would you ask your students based on this applet ?