Question

given for cylindrical metal wire density=1kg per meter cube diameter=2mm length=32cm find out mass​

Answer 1

Given info : density of cylindrical metal wire is  1 kg/m³ , diameter of cross sectional of wire is 2 mm and length of the wire is 32 cm.

To find : the mass of the wire is ..

solution : first we should find the volume of cylindrical metal wire.

volume of  wire = volume of cylinder = πr²l

here radius of wire, r = diamter of wire/2 = 2mm/2 = 1 mm = 10⁻³ m

length of wire, l = 32 cm = 3.2 m

now volume of wire = 3.14 × (10⁻³)² × 3.2 ≈ 10⁻⁵ m³

we know density is the ratio of mass and volume of an object.

so, density of wire = mass of wire/volume of wire

⇒ 1 kg/m³ = mass of wire/10⁻⁵ m³

⇒ mass of wire = 10⁻⁵ kg = 10 mg

therefore the mass of the metalic wire is 10 mg.