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Cone Heads Mystery Cache

Hidden : 5/30/2004
Difficulty:
4 out of 5
Terrain:
3 out of 5

Size: Size:   regular (regular)

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Geocache Description:

CACHE IS NOT LOCATED AT THE ABOVE COORDINATES!

Coordinates above will only take you to the parking area, which is a 200 m. hike from the cache.Cache is a 1 gal. green plastic container, chock full of many helpful goodies.


This puzzle is to find out if a Cone Head has a larger brain than a human. (Assuming of course that the entire cone is brain matter.)

An average human brain has a volume of 2174 cm3 and weighs 1300 – 1400 grams.Once you know if a cone heads brain is larger than a humans by calculating the volume and weight of a cone heads brain, you will then be able to calculate the coordinates.

To solve this puzzle, the following is assumed:

  • The top circumfrence of the cone is 7.5 in.
  • The bottom circumfrence of the cone is 22.6 in.
  • The height of the cone is 16 in.
  • The s.g. of brain matter is 39.981 lbs/ft3
  • All calculations must be done using only numbers rounded to the 1000th.
  • All calculations must be done using only grams and centimeters.

While it may be tempting to use one of many online conversion or volume calculators, keep in mind that these do not round calculations to the 1000th and could result in a mis-calculation of this puzzle.

  • North Coordinate = weight + 757.145
  • West Coordinate = volume + 6024.108

To check your math add the individual numbers of each coordinate together.

  • North = 29
  • West = 24

If your numbers add up to these, you have either calculated correctly and should go look for the cache, or you have grossly mis-calculated and should try again rather than leave the state to look for the cache.

*SPOILER ALERT*


If you absolutely cannot solve this, and never will, I have placed 4 micro caches to help you. Each of these caches contains a micro puzzle to solve for a part of the coordinates. No links, you'll have to figure out which they are the hard way.
There are many formulas for solving the volume of a cone. Using the wrong formula may end in differing coordinates. The formula that should be used is: pi/3*h((tr*tr)+(tr*br)+(br*br)).

Additional Hints (Decrypt)

Chmmyr Uvagf: cv = 3.142, 1 yo/sg3 = .016 t/pz3, 1 va. = 2.54 pz., P = 2Cve, Uvqr Uvagf: Uvqqra haqre gur Abegurnfg onfr bs n gerr, 35 sg. Rnfg bs gur ovttrfg ebpx. Urnq fbhgu sebz cbjre cynag gbjneq snyyf. Tbbq genvy sbe gur svefg 100 sg be fb, gura irel snvag genvy guebhtu purfg uvtu cynag tebjgu naq qbjarq gerrf znxrf gur erfg bs gur genvy nyzbfg ha-abgvpnoyr. Nyfb, sbe gubfr va arrq bs zber uryc, fbzrjurer ba guvf cntr vf n cbegny gb gur fbyhgvba. Vs lbh hfr gur cbegny, cyrnfr zragvba guvf zrgubq bs fbyivat vg va lbhe ybt.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)