A solid brass sphere of radius 15 cm is drawn into a wire of diameter 6 mm. The length (in cm) of the wire is:
Answer & explanation
Correct answer: option 1
We know that,
Volume of sphere = \(\frac{4}{3}\) πr3
Radius of sphere = 15 cm
Diameter of wire = 6mm = 0.3 cm
Then the radius = 3mm
Volume of cylinder = πr2l
\(\frac{4}{3}\) × π × 153 = π × 0.32 × l
l = 50000 cm