Question

In a rectangular paper,its length is 44 cm and the breadth is 7 cm. By rolling the paper from its length,an open cylinder is formed. If a closed cylinder is taken of the same size,then find its total surface area

Answer 1

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HerE IS YouR AnsweR ———

length of rectangular paper = 44cm

breadth of rectangular paper = 7cm

when rectangular paper is rolled along

its length , the length became its

circumference through which we can get

the radius and its breadth will become

the height of cylinder .

therefore,

circumference of circle =

$2\pi \: r$

$= > 44 = 2\pi \: r \\ \\ = > \frac{44 \times 7}{2 \times 22} = r \\ \\ = > 7 = r$

therefore , the radius is 7 cm

now, the total surface area of cylinder =

$2\pi \: r(r + h)$

$= 2 \times \frac{22}{7} \times 7(7 + 7) \\ \\ = 44(14) \\ \\ = 616 \: {cm}^{2}$

therefore, total surface area of cylinder is 616 cm².

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