Mathematics

Mathematics

Problem

A cylindrical pillar of radius 0.5 m0.5\,\text{m} is surmounted by a solid hemisphere of the same radius. The total height of the combined solid is 4 m4\,\text{m}. How much sheet metal (in m2\text{m}^{2}) is required to cover the entire outer surface of the solid, excluding the flat bottom of the cylinder? a) 11.811.8 b) 12.612.6 c) 14.114.1 d) 10.010.0

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