A manufacturer produces closed cylindrical cans of height

MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

20\,\text{cm}

. To make one can, a thin sheet of metal is used such that

0.05\,\text{g}

of metal is required for every square centimetre of surface area covered. If

110\,\text{g}

of metal is used for one can, determine: (i) the total surface area of the can. (ii) the radius of the base of the can. (Take

\pi = 3.14

.) (iii) how much metal (in grams) would be saved per can if the company decided to remove the top cover while keeping all other dimensions unchanged.

Related theory

Surface Area of Solids
Surface Area
Right circular cylinder
Mensuration

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