hemisphere, cone, cylinder
- Judah L Schwartz
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 cm3 and surfaces that are measured in cm2. 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 ?