The diameter of a sphere is 24cm it is melted and drawn into a cylinder. wire of diameter 2•8cm find the length of wire
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Answer:
l = 1175.51 cm
Step-by-step explanation:
diameter of sphere = 24 cm
radius of the sphere ,R = 12 cm
diameter of wire = 2.8 cm
radius of wire , r= 1.4 cm
let l be the length of the wire
when it is melted and drawn to a wire,
volume of sphere = (4/3) x π x R^3
volume of cylinder = π x r^2 x l
volume of sphere = volume of cylindrical wire
(4/3) x π x R^3 = π x r^2 x l
(4/3) x 12^3 = 1.4^2 x l
l = 1175.51 cm
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Answer:1175.51
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