A pipe 2.6 m long and 10 m in diameter was made from a rectangular sheet of tin. Calculate the area of the sheet of tin.

Because a pipe with a diameter of 10m was obtained from the sheet, which means that the shape of the pipe is cylindrical and the area of the sheet will be equal to the area of the lateral surface of the cylinder.

S = lokr * h

lop = 2 π r = π d.

With a diameter of 10 m, the circumference will be:

lop = 3.14 * 10 = 31.4 (m).

Let us find the surface area of the pipe if it is known that the pipe has a length of 2.6 m, i.e. h = 2.6 m:

S = 31.4 * 2.6 = 81.64 (m2).

Answer: the area of the rectangular sheet of tin from which the pipe was made is 81.64 m2.



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