A solid medicine capsule consists of a right circular cylinder of length and radius

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

Problem

A solid medicine capsule consists of a right circular cylinder of length 10 cm10\,\text{cm} and radius 1.5 cm1.5\,\text{cm}, with a hemisphere of the same radius attached to each end. The entire outer surface is to be coated with a special lacquer. One tin of the lacquer contains 50 ml50\,\text{ml} and can cover 1000 cm21000\,\text{cm}^2 of surface area. (i) Calculate the total outer surface area of one capsule. (ii) Determine the minimum number of tins of lacquer required to coat 500500 such capsules. (iii) If each tin costs ₹80, find the total expenditure on lacquer for coating all the capsules.

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