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Napkin ring problem

Index Napkin ring problem

In geometry, the napkin-ring problem involves finding the volume of a "band" of specified height around a sphere, i.e. the part that remains after a hole in the shape of a circular cylinder is drilled through the center of the sphere. [1]

19 relations: Annulus (mathematics), Cavalieri's principle, Chord (geometry), Cross section (geometry), Cylinder, Dover Publications, Geometry, Japanese language, Japanese mathematics, Mathematical Association of America, Mathematics and plausible reasoning, Napkin ring, Parallel (geometry), Pythagorean theorem, Radius, Seki Takakazu, Sphere, String girdling Earth, Visual calculus.

Annulus (mathematics)

In mathematics, an annulus (the Latin word for "little ring" is anulus/annulus, with plural anuli/annuli) is a ring-shaped object, a region bounded by two concentric circles.

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Cavalieri's principle

In geometry, Cavalieri's principle, a modern implementation of the method of indivisibles, named after Bonaventura Cavalieri, is as follows.

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Chord (geometry)

A chord of a circle is a straight line segment whose endpoints both lie on the circle.

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Cross section (geometry)

In geometry and science, a cross section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional spaces.

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Cylinder

A cylinder (from Greek κύλινδρος – kulindros, "roller, tumbler"), has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.

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Dover Publications

Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward Cirker and his wife, Blanche.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Japanese language

is an East Asian language spoken by about 128 million people, primarily in Japan, where it is the national language.

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Japanese mathematics

denotes a distinct kind of mathematics which was developed in Japan during the Edo period (1603–1867).

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Mathematical Association of America

The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level.

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Mathematics and plausible reasoning

Mathematics and plausible reasoning is a two-volume book by the mathematician George Pólya describing various methods for being a good guesser of new mathematical results.

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Napkin ring

The napkin ring, occasionally called a Christening bangle, was originally used to identify the napkins of a household between weekly wash days.

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Parallel (geometry)

In geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel.

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Pythagorean theorem

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

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Radius

In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

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Seki Takakazu

, also known as,Selin, was a Japanese mathematician and author of the Edo period.

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Sphere

A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").

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String girdling Earth

String girdling Earth is a mathematical puzzle with a counterintuitive solution.

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Visual calculus

Visual calculus, invented by Mamikon Mnatsakanian (known as Mamikon), is an approach to solving a variety of integral calculus problems.

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Redirects here:

Napkin-ring problem, Radius-invariance of the volume of a band around a sphere, Spherical ring.

References

[1] https://en.wikipedia.org/wiki/Napkin_ring_problem

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