A copper sphere of diameter 18 metre is drawn into a cylindrical wire of length 12 metre. What is the radius of the wire?
Answer & explanation
Correct answer: option 2
We know that,
Volume of sphere = \(\frac{4}{3}\) πr3
Volume of cylinder = πr2h
We have,
Radius of sphere = 9 cm
Radius of wire = 0.3 cm
Now,
Volume of sphere = Volume of cylinder
= \(\frac{4}{3}\) πr3= π0.32h
= \(\frac{4}{3}\) × 729 = 0.32h
= 4 × 243 = 0.09h
Length = h = 10800 cm = 108 m