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LHNSHS146
03.12.2019 •
Mathematics
Wire is commonly made by putting hot metal through a hole in a plate. what length of wire, of diameter 1mm, can be made from a 1cm cube of metal?
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Ответ:
We already have the volume of the metal which is 1cm cube.
To get the volume of the wire, the equation is V=3.14 x r^2 x h
since the volume of the wire is same as the volume of the metal, we simply substitute.
1 cm^3 = 3.14 x r^2 x h
h is the length of the wire.
the diameter of the wire is 1 mm or 0.1 cm, to get the radius we divide it by 2, 0.1 cm / 2 is 0.05 cm, we substitute
1 cm^3= 3.14 x (0.05 cm)^2 x h
1 cm^3= 3.14 x 0.0025 cm^2 x h
h = 0.00785 cm^2 / 1 cm^3
h=0.00785 cm or 0.0785 mm.
Ответ: