Question

the lateral surface area of a hollow cylinder is 3872 CM square it is cut along its height and from the rectangular sheet of with 44 cm find the perimeter of the sheet

Answer 1

this is the answer of that question

Answer 2

$Given \: lateral \: surface \:area \:of \: a \\hollow \: cylider = 3872 \:cm^{2}$

/* According to the problem given */

The hollow cylinder is cut along its height and from the rectangular sheet of with 44 cm

$Let \: length \:of \: the \\ rectangular \:sheet = l \: cm$

$Width (w) = 44 \:cm$

$Area \:of \: the \: sheet \\= Lateral \: surface \:area \: of \:the \: cylider$

$\implies l \times w = 3872$

$\implies l \times 44 = 3872$

$\implies l = \frac{3872}{44}$

$\implies l = 66 \: cm$

$Now, Perimeter \:of \:the \:sheet (P) = 2(l+w)\\= 2( 66 + 44 )\\= 2 \times 100 \\= 200 \:m$

Therefore.,

$\red { Perimeter\:of \:the \:sheet }\green {=200 \:m}$

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