Mathematics

Mathematics

Problem

Two identical solid hemispheres each of radius 5 5\,cm are first joined along their flat faces to form a sphere. The sphere is then fixed on the top of a right circular cylinder of the same radius 5 5\,cm, by joining their flat circular faces. When calculating the total outer surface area of the resulting solid, which of the following areas must be excluded from the calculation? a) Exactly two circular areas of radius 5 5\,cm b) Exactly one circular area of radius 5 5\,cm c) Exactly three circular areas of radius 5 5\,cm d) No circular area needs to be excluded

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