Solution to the most recent LC:
We have 375 pies, in a pie shape with a height (h) of 2.8 inches, a radius (R) at the top of 5.5 inches and a radius (r) at the bottom of 4.25 inches (half the specified diameter of 8.5 inches).
The pie shape is a conical frustum (probably upside-down compared to most illustrations). According to Wolfram Mathworld at
http://mathworld.wolfram.com/ConicalFrustum.html, the volume is:
V = (1/3)h * pi * (R^2 + Rr + r^2).
Plugging in our values, we get V = 210.1987285 cubic inches.
Now the density of the pies is 171.6 pounds per cubic foot, so we need to convert the volume into cubic feet. A foot is 12 inches, so the volume V of a single pie is V = 210.1987285 / 12 / 12 /12 = 0.121642783 cubic feet. Multiply this times 375 pies and 171.6 pounds per cubic foot to get a total weight of 7827.713065 pounds. Round this to 7828 to submit.
(Although they don't explicitly indicate the units they want the weight in, the clear assumption is that it should be in pounds, as the only unit of weight mentioned in the problem.)