A Volume/Surface Area Query in Calculus (Tanton Mathematics) @DrJamesTanton

Uploaded November 2012 | Updated September 2026, 3 weeks ago

The derivative of the formula for the volume of a sphere gives the formule for its surface area. Is it obvious that this should be so? How about the derivative of the volume of a cube? Does it give its surface area? Well NO, and ... YES!!!

A Volume/Surface Area Query in Calculus (Tanton Mathematics)

$Fractions take up No Space: Rationals Have Measure Zero (TANTON Mathematics) How much space do the fractions take up on the number line? NONE! In this video we add up pieces of ribbon to prove that the fractions have measure zero. It is all very easy and very perturbing because it is easy! [This video does assume familiarity with the geometric series formula - so you might want to watch a video on that too. I do that with paper tearing!]$

Two Paradoxes: Pi equals 2 and SQRT(2) equals 2 (TANTON: Mathematics)

Proving the Reflection Property of an Ellipse (Tanton Mathematics)

Fibonacci Surprises_Part 1 via PowerPoint (Tanton Mathematics)

Wrapping a Rope around the Earth Puzzle (TANTON Mathematics)

Why zero factorial equals one. (TANTON Mathematics)

The Binomial Theorem (TANTON Mathematics)

Parentheses Numbers / Catalan Numbers: Part I (Tanton Mathematics)

Partition Numbers Part IV: An Accessible Overview (Tanton: Mathematics)