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8-59.

THE RUSSIAN DOLL

For generations, special wooden dolls have been handcrafted in Russia. This type of cylindrical doll opens at the midsection and nested inside is a smaller wooden doll (with the same shape) which itself opens to another doll. Some dolls are made up of

Explain why, under ideal conditions, the sum of the volumes of the nested wooden shells of the different-sized Russian Dolls would calculate the full volume of the interior of the largest doll.

An 'ideal' situation would have infinitely many dolls with infinitely small thicknesses.