a piece if copper of volume 4.4dm cube is drawn into a cylindrical qire 0.025 cm un diameter.find the length of the wire.
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Answer:Given volume of copper = 4.4 dm³ = 4.4 x 10⁻³ m³
diameter of cylinder wire = 0.025 cm = 0.025 x 10⁻² m
=> radius of cylinder wire = 0.025/2 x 10⁻² m
let h be the length of the wire,
we know that volume of the cylinder = πr²h = (22/7) x (0.025/2 x 10⁻²)² x h
since the wire is drawn from the copper hence volume of both will remain same,
=> (22/7) x (0.025/2 x 10⁻²)² x h = 4.4 x 10⁻³
=> (22/7) x (25/2 x 10⁻⁵)² x h = 4.4 x 10⁻³
=> (22/7) x 625/4 x 10⁻¹⁰ x h = 4.4 x 10⁻³
=> h = (4.4 x 7 x 4 x 10⁷)/(22x625)
=> h = 89.6 x 10³ m = 89.6 km
Hence the length of the wire will be 89.6 km
Step-by-step explanation:
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