A wire is drawn from a solid iron sphere of radius 6 cm find the length of a wire if its diameter is 6 cm
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Step-by-step explanation:
Given the radius of the sphere is 6 cm from which a wire is drawn. It means the volume of the sphere will be equal to the volume of the cylindrical wire of diameter 6 cm,radius 3 cm, which is drawn from the sphere.
Volume of sphere =4/3*π*r^3=4/3*22/7*6*6*6
Volume of wire=π*r^2*h ( h is the length of the wire)
=π*3*3*h
equating both
4/3*π*6*6*6=π*3*3*h
⇒h=(4*6*6*6*π)/(3*3*3*π)
=4*8=32cm
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