Saturday 6 July 2013

The Mother Earth and Steel Band

Imagine the mother Earth as a sphere which is completely made with the help of iron and is having a stainless steel band around the equator line against the surface. Now, you are supposed to cut this steel band and one foot is added to this stainless steel band's length. Then again it is positioned against equator. Now, there will be some distance in between the equator and the band due to increase in length. You keep this band as it can be equidistant from the surface of this surface all the way around. (Still it is at the equator only.)
You just are supposed to answer the question: How much space would be there between this stainless steel band and the surface of the sphere? Will it be enough to slip a kerchief? Or will it be able to pass a pencil from between the surface and band? The question needs logic but also is using some concepts of geometry. You can reach to the answer, if you try to answer it with the help of doing some experiment of same kind on a smaller figure. Then continue this experiment with somewhat bigger figure and trace the correlation behind these two experiments to the sphere of size of the Earth.
You will reach to the answer.
Now, think that the sphere is not of the size of Earth, but it is having the size of the Sun. What will the distance between this stainless steel band and the surface of the Sun?
Some facts, if required:
Radius of Sun: 695800 km
Radius of Earth: 6371 km
All the best to you all for solving this puzzle. Comment here, when you reach to the answer.  Or, comment even when you face some difficulties solving this puzzle. I will be happy to help you in all the ways possible.

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