Question

Respected Sir / Madam , A piece of ductile metal is in the form of a cylinder of diameter 1 cm and length 11 cm . It is drawn out into a wire of diameter 1 mm. What will be the length of wire so obtained ?

Answer 1

given,
Metal sheet,
diameter =1 cm
radius = 1/2 cm
height=11 cm
Metal wire,
diameter=1mm=1/10cm
radius=1/10 ÷2 = 1/20 cm
length=?
we know that,
volume of metal sheet=volume of the wire
πr²h=πR²H
1/2 × 1/2 × 11 = 1/20 ×1/20 × H
11÷2÷2=H÷20÷20
H=11×20×20÷2÷2
H=1100cm
here the r is the radius of the sheet
R is the radius of the wire
h is the height of the sheet
H is the height of the wire

MAYBE IT IS CORRECT AND IT IS USEFUL TO U