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Le Cylindre Mystery Cache

This cache has been archived.

Killakul: The cache has served its purpose and will now be retired. A big thank you to all fellow cachers who have payed the cache a visit.

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Hidden : 3/19/2017
Difficulty:
4.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   other (other)

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Geocache Description:

You need to solve the math problem below to calculate which coordinates to enter into the checker. The checker will then return with the final coordinates and a spoiler image to help you on site


A small metal ball circles a cylinder with a radius of 1 m and a height of 27 m leaving a trace behind. It starts at the top of the cylinder and ends up at the bottom completing in total three full laps while descending. What is the length in meters (no decimals) of the trace the metal ball leaves behind? If you figure this out you will get the three last digits in the north coordinate to enter into the geochecker.

The cylinder is filled with some water. A metal sphere with a surface area of 5,179 m2 is lowered into the water until it is fully submerged. By how many meters (three decimal points) will the surface of the water in the cylinder raise during the process? If you figure this out you will get the three last digits in the east coordinate to enter into the geochecker.

Additional Hints (Decrypt)

Jura ragrevat gur pnyphyngrq pbbeqvangrf vagb gur TrbPurpxre vg jvyy erghea jvgu gur pbbeqvangrf bs gur npghny uvqvat cynpr. Gurer vf ab pbaarpgvba orgjrra gur zngu ceboyrz naq jurer gur pnpur vf uvqqra.

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)