Question

1.1 cm cube of copper is to be drawn into a cylindrical wire of 0.5 CM in diameter calculate the length of the wire

Answer 1

Solution:-

Let the length of the wire be 'h' cm
1 dm = 10 cm
Volume of metal = 2.2 dm³ = 2.2(10 cm)³
= 2.2*1000
Volume of metal = 2200 cm³
Let 'r' be the radius of the cylinder.
Given : Diameter = 0.25 cm 
So, r = 0.25/2 
r = 0.125 cm
Volume of metal in the wire = 2200 cm³
∴ πr²h = 2200 cm³
⇒ 22/7*(0.125)²*h = 2200
⇒ h = (2200*7)/22*0.015625
⇒ h = 15400/0.34375
h = 44800 cm
Or 44800/10 
 Height = 4480 dm
Answer.

Answer 2

Volume of cube = a³ = 1.1³ = 1.331 = 1331/1000 cm³


Volume of cylinder = πr²h

1331/1000 = 22/7×0.5×0.5×h

1331/1000×7/22×2×2 = h

H = 1.69. cm