Uploaded May 2011 | Updated September 2026, 3 weeks ago
In this fourth video of "geometry formulas explained" we show how Archimede's deduced that the surface area of a sphere is 4*pi*r^2 after having figured a formula for its volume. (And that was video III.)
In this fourth video of "geometry formulas explained" we show how Archimede's deduced that the surface area of a sphere is 4*pi*r^2 after having figured a formula for its volume. (And that was video III.)


![All Quadratic Graphs are U shaped (TANTON Mathematics)
The equation y = ax^2 + bx + c is the equation of a U-shaped graph (x^2) plus the equation of a line (bx+c). If one pauses for a moment, it is not at all obvious that these two shapes added together give another U shape! We explain why in this follow-up video to graphing quadratics.
[p.s. I was human again! There is a small error near the very end of the video. It is not a big deal, but for extra points, can you spot it??] All Quadratic Graphs are U shaped (TANTON Mathematics)](https://i.ytimg.com/vi/SA61hmwUD8I/mqdefault.jpg)







