Math Forum / Mathematics / Recreational Math / October 2004

Greets All,
I was wondering if this type of loop is possible in and if so what's the best way of going about it?
Here's and example of what a user would type in
Example: Variable List of Numbers user enters

I would like to know the formula for calculating the volume of a vertical spherical cap.
I try to explain what I mean:
The spherical cap is limited by two vertical planes, parallel:
the first one is tangential to the sphere

What's your favorite infinity? I used to like Aleph-0, but it started
getting as boring as 1-2-3 (and so on).
I know it's rather trite, but I do like 'c', the cardinality of the
transcendental irrationals. I know that's the same as for Real numbers,

Has any1 got a (not too hard) math problem?
Well, if you have one please post it.
Christoph

There is a number missing on the X spot, 1, 4 or 7? why?
       9
     1 4 7
 7     3   5     7

Okay, here's a cute problem. Getting the answer is as much fun as
solving it. What I mean by that is - the answer is way cool! I hope my
description of it below is clear enough. It's really easy to describe it
when you draw it.

I'm totally at a loss as to work out the volume of this tank!
It's 3' high and has 5 sides. the back is a triangle corner and the front is
a sort of  straight bow. The "triangle" sides are each 16" and the 2 smaller
"bow" sides are 5" each. Can anyone help? (I'm in the UK so trying ...

I don't believe in Pi.It's just a myth.

Would someone please settle this argument?
My position is:  0.5^1001
Thanks!
If a fair coin turns up "heads" a 1,000 consecutive times, what is

A triangular pyramid has a height of 1680 whilst standing on any one
of its four faces. Edges AB,AC,AD,BC,CD,and DB are all integers as is
the volume and all four face areas. Find suitable values for the
edges.  

Test

===============================================
  Draw a square in the sand. Place stones
    1, 2, 3 and 4 on each of its sides.
             Wait two days.

I've begun writing a new paper online, which is how I started the
paper Advanced Polynomial Factorization.  I like outlining papers on
Usenet as it gets me an opportunity to get immediate feedback.
This paper is very detailed in terms of steps as it's meant to remove

Many years ago, Martin Gardiner did a Mathematical Games column on unsolved
problems. One of the unsolved problems was the following:
What is the smallest number of colors needed to color every point in a plane
so that every pair of points that are exactly one unit apart have ...

I will be building a  half hexagon shaped counter. The
longest side will be
9 feet. I need to know how long the other 120 degree angles
sides will be.