9 items are filed under this topic.
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How much work is done? |
2011-10-15 |
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From Jean:
"A conical buoy that weighs B pounds floats upright in water with its
vertex "a" feet below the surface. A crane on a dock lifts the buoy
until its vertex just clears the surface. How much work is done ?"
Answered by Penny Nom. |
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Archimedes' formula for parabolic arches |
2009-01-23 |
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From La:
Use calculus to verify Archimedes' formula for y=9-x^2. Prove Archimedes' formula for a general parabolic arch.
Answered by Harley Weston. |
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The perimeter of a regular polygon |
2007-09-18 |
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From Ashwynn:
why does the area of regular polygons with a perimeter of 1000m increase as the number of sides increase?
Answered by Stephen La Rocque. |
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The volume of a sphere. Why 4/3? |
2005-05-30 |
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From Lauren:
You know when you find the volume of sphere? I know the formula is V= 4/3 pi r3 but why do they use 4/3?
Answered by Penny Nom. |
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Cairo tesselation and Archimedean duals |
2000-06-21 |
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From Joyce DuVall:
I am looking for a picture of the Cairo tesselation, and pictures of the Archimedean duals. Do you know of any good web sites or books?
Answered by Penny Nom. |
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Volume of a sphere |
2000-05-21 |
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From Kevin Partridge:
Does anyone have a way to physically demonstrate how to explain the volume formula for a sphere? Or perhaps how to derive the formula without calculus?
Answered by Harley Weston. |
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A roll of paper |
2000-01-15 |
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From Richard:
I have a roll of paper, wrapped around a corrugate core, whos diameter is 10.750 in. The outer diameter of the roll is approx. 60 in. The thickness of the paper is .014 in. I am trying to find out how much linear feet of paper is left on the roll, given only the diameter of paper remaining on the core.
Answered by Chris Fisher and Harley Weston. |
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Approximating pi. |
1996-11-04 |
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From Ben Dixon:
How do you calculate Pi? Do you have to somehow combine the equation for a circle with the formula for the circumference?
Answered by Chris Fisher. |
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Le salinon d'Archimèdre |
1999-03-11 |
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From Don Craig:
I am trying to find the English translation of "Le salinon d'Archimèdre" and would appreciate any help. This is a figure, presumably studied by Archimedes, created from 4 semi-circles. Since I can't draw it for you, I will try to describe it with the help of the 5 collinear, horizontal points below. . . . . . A B C D E A semi-circle is constructed on AE as diameter (let's say above AE). Two more semi-circles are then constructed with diameters AB and DE on the same side of the line AE as the first semi-circle (above it). Finally, a fourth semi-circle is constructed on diameter BD, this time on the opposite side of the line AE from the others (i.e. below the line). These semi-circles and the region enclosed by them constitute what is called in French "Le salinon d'Archimèdre". If you know the English name of this curve I would appreciate it if you let me know.
Answered by Harley Weston. |
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