The answer to this depends on the angle at which they intersect. If it intersects<span> the cylinder perpendicular to the axis then a circle is formed. </span><span>If the plane intersects the cylinder at an angle, it will form an ellipse. This will be true until the plan is parallel with the axis of the cylinder. At that point, the surface will become a rectangle.</span>
Supposing that the integers are x, y and z, and that their average is 8, then
x+y+z
-------- = 8, or x + y + z = 24.
3
Let's experiment. Making up a table, we get:
x y z sum (sum MUST be 24)
5 9 10 24
4 9 11 24
3 10 11 24
2 11 11 24
1 11 12 24
1 10 13 24
1 1 22 24
Can't choose integers smaller than 1, so it appears that 22 is the largest possible integer that could be one of x, y and z.
First we have to calculate the half-life
half-life = elapsed time * log (2) / log (bgn amt / end amt)
half-life = 1 hour * 0.30102999566 / log (1 / .95)
half-life = 0.30102999566 / log (<span>
<span>
<span>
1.0526315789 )
</span>
</span>
</span>half-life = 0.30102999566 / 0.022276394692
half-life = <span>
<span>
<span>
13.5134073454 hours
</span>
</span>
</span>
Ending Amount = Beginning Amount / 2^n
Where "n" = number of half-lives
For 4 hours, "n" equals
4 / 13.5134073454
=<span>
<span>
<span>
0.2960023255
</span></span></span>Ending Amount = 500 grams / 2^.2960023255
Ending Amount = 500 grams /<span>
<span>
<span>
1.2277376629
</span>
</span>
</span>Ending Amount = <span>
<span>
<span>
407.2531250707 grams
Source:
http://www.1728.org/halflife.htm
</span></span></span>
