A decorative article is formed by placing a right circular cone on top of a solid…

MATHEMATICS · Subjective · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A decorative article is formed by placing a right circular cone on top of a solid hemisphere. The hemisphere has radius 7 cm7\,\text{cm} and the cone has the same base radius; the slant height of the cone is 25 cm25\,\text{cm}. The plane circular base of the hemisphere rests on a table and will not be covered. (i) Calculate the total curved outer surface area of the article that will be silver-plated. (ii) If silver-plating costs Rs 1515 per square centimetre, find the total cost of plating, correct to the nearest rupee.

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