A solid cube of metal each of whose sides measures 2.2 cm is melted to

1.	A solid cube of metal each of whose sides measures 2.2 cm is melted to form a cylindrical wire of radius 1 mm. Find the length of the wire so obtained.
Answer» It is given in the question that Length of the edge, a = 2.2 cm Hence, Volume of the cube = a³ = (2.2)³ = 10.648 cm³ Now, Volume of the wire \(=\pi r^2h\) Radius of the wire = 1mm = 0.1cm We know that, Volume of the cube = volume of the wire Hence, Length of the wire = \(\frac{volume}{\pi r^2}\) = \(\frac{10.648\times7}{22\times0.1\times0.1}\) = 338.8 cm

A solid cube of metal each of whose sides measures 2.2 cm is melted to form a cylindrical wire of radius 1 mm. Find the length of the wire so obtained.

Answer»

It is given in the question that

Length of the edge, a = 2.2 cm

Hence,

Volume of the cube = a³

= (2.2)³

= 10.648 cm³

Now,

Volume of the wire \(=\pi r^2h\)

Radius of the wire = 1mm = 0.1cm

We know that,

Volume of the cube = volume of the wire

Hence,

Length of the wire = \(\frac{volume}{\pi r^2}\)

= \(\frac{10.648\times7}{22\times0.1\times0.1}\)

= 338.8 cm