For background please use the two links which are the bold and blue words.
A solid whose plan view and front and side elevations resembled a multiplication symbol (x) bounded by a circle may be viewed here.
It is the third on that page.
The object can be created by imposing 3 cylinders on a cube in each of the x, y and z dimensions.
If the edges of the cube are of unit length, What is the volume of this object?
How mundane (as being simple) a solution can we get?
The cube from which this can be made has edges of 1 unit.
If I consider this to be 2*r then the volume is 8*r^3.
For a cylinder cut from such a cube (∏ r²h), using the same idea I would have ∏r² * 2r or 2∏r³.
And a sphere would 4/3 * ∏r³.
The volume of my object is therefore somewhere between the volume of the cylinder and the sphere.
Interesting, I can create ∏ by writing the code ∏ in the CB and copy and paste it to here, but if I write the code here it doesn't translate. ????
Edited on November 4, 2006, 6:39 pm
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Posted by brianjn
on 2006-11-04 18:24:12 |
Nothing definite
