A toy is made by mounting a right circular cone on a hemisphere

MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A toy is made by mounting a right circular cone on a hemisphere. The common radius is 3.5 cm and the height of the cone is 8 cm. The conical part is to be painted red at Rs 2.50 per square centimetre and the hemispherical part blue at Rs 1.50 per square centimetre. Use π=227\pi = \dfrac{22}{7}. (i) Calculate the curved surface area to be painted red. (ii) Calculate the curved surface area to be painted blue. (iii) Determine the total cost of painting the toy.

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