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## Snješko

A cache by Min. VanjskihPoslova Message this owner
Hidden : 05/31/2015
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Size:  (other)

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### Geocache Description:

The cache is not hidden at the listed coordinates, but maybe you can find some inspiration there.

After attending "Spheres of Influence", by David Fried, a local artist gets inspired, and starts working on "Snješko", a snowman sculpture out of two perfect spheres.

The different radii will follow the proportions 1451:1144. At the neck the spheres are cut off, to fit exactly, and to reach a total height of the snowman of half the smaller radius less than the sum of the diameters of both spheres.

Our artist is not making a lot of money, and before starting the realisation of his snowman, he computes the amount of plaster required. For the chosen dimensions he would require 17831/59 kg (using a density of 812 kg/m3), which is far outside his budget, given that the sculpture would costs him around 25 kuna/kg.

He sees himself forced to change his design, and instead of downscaling the dimensions, he chooses to downscale the dimensionality, and only create a slice of the intended snowman. The maximum thickness of the slice, measured at the smaller sphere, will become exactly half of the smaller radius.

For this design he doesn't manage to make an exact calculation of the amount of plaster required, but he estimates that the cost will be acceptable, and goes ahead with the casting. When it is time to take the sculpture out of its mold, he asks a friend to help him. One takes the top, the other the bottom, and as a result the snowman cracks in two, right along the neck, in a straight plane.

He immediately realizes the stupid mistake he made, and decides to try again. In order to keep the cost from escalating further after this costly incident, he uses a precision scale to determine the weight of both pieces, and know exactly how much more plaster to buy.

After jotting down both readings, he scratches his head, and leaves the house.
When his friend asks him where he is going, he calls over his shoulder: "Ask Snješko!".
Do you have any idea what the snowman could possibly tell us?