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Matthias is making a model of a regular six-sided prism, which he will make from a 20 cm high cylinder with a volume of . Calculate the length of the base edge of the largest possible formed regular hexagonal prism .
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Since we make the largest regular hexagonal prism from the cylinder, it means that the base surface of the prism will be exactly a regular hexagon, which is inscribed in the base surface of the cylinder. Therefore, it is considered that the radius of the cylinder r is exactly equal to the side of the obtained hexagonal regular prism:
Therefore, r = a = 2.45 ~cm#2#
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. Calculate the length of the base edge of the largest possible formed regular hexagonal prism .
