16mm Filmography
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Infinite Acres

Illustrates through animation the paradox of a solid having a finite volume and an infinite surface area. Derives a "solution" to the following problem: how much paint would be necessary to paint the surface of an apartment house constructed from the curve y = 10/x, where X goes from one to infinity. Proves that although the amount of paint required to fill up the inside of the apartment house can be calculated, it is impossible to determine the amount of paint required to cover the surface area. Presumes knowledge of improper integrals and solids of revolution., Using animation the film represents the paradoxical situation of a solid with a finite volume and an infinite surface area. Some knowledge of the surface area and volume of a solid and of improper integrals is assumed. (Calculus Films series)
Complete catalog record
Illustrates through animation the paradox of a solid having a finite volume and an infinite surface area. Derives a "solution" to the following problem: how much paint would be necessary to paint the surface of an apartment house constructed from the curve y = 10/x, where X goes from one to infinity. Proves that although the amount of paint required to fill up the inside of the apartment house can be calculated, it is impossible to determine the amount of paint required to cover the surface area. Presumes knowledge of improper integrals and solids of revolution., NOTE: Two (or more) records have been merged together to create this data.

More in Calculus Series

  1. A Function Is a Mapping 1966
  2. Area under a curve 1966
  3. Newton's Method 1966
  4. The Definite Integral 1966
  5. Continuity of Mappings 1967
  6. Infinite Acres 1967
  7. Limit 1967
  8. The Definite Integral As A Limit 1967
  9. Volume By Shells 1967
  10. Volume of a Solid of Revolution 1967
  11. What Is Area? 1967
  12. I Maximize 1968
  13. The Theorem of the Mean 1968

Related films

Sources

  1. 16mm Filmography (legacy record) — title, year, creator, length, format, color, description, catalog record

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