a wire of radius 3mm and length 200m is melted into a sphere. Calculate the radius of the sphere in meters

To find the radius formed by melting the wire, you must start with this equation:

volume of wire = volume of sphere (since it is simply melted into a different shape, the volume would remain the same, equal)

πr²l = 4/3πr³

cancel π:

r²l = 4/3r³

3r²l = 4r³

r³ = (3r²l)/4

r³ = (3 × 3² × 200)/4

r³ = 1350

r = (cube root) of 1350

r = 11.052094

r = 11.05 mm

divide by 1000 to get the answer in the unit meters:

r = 0.01105m

Explanation:

entropy is the randomness or disorder of a system right?

we know gases have negligible forces of attraction hence the particle move in an uphazard manner hence there great disorder as compared to liquid with low force of attraction low kinetic energy but in solid particles are held by strong intermolecular forces in fixed position where kinetic energy is low and order is greater here