Question

a solid cube of metal each of whose side measure 2.2 centimetres is method to from a cylindrical wire of radius 1 millimetre. Find the length of wire so obtained

Answer 1

The answer is 338.8 cm.
the volume of both th3 solid figures is same.
side×side×side gives the volume of cube.
pie×r×r×h gives the volume od wire.
So, side×side×side = pie×r×r×h
On substitution of values we get the height.

Answer 2

given cube side length =2.2cm
radius of wire =1mm=(0.1) cm
let L is the length of wire
now,
volume of wire=volume of cube
pi.r^2.L=(side length)^3
22/7 x (0.1)^2 x L=(2.2)^3
L=(2.2 x 2.2 x 2.2 )/(22/7 x 0.1 x 0.1 )
=338.8 cm