The diameter of a sphere is 6 cm. It is melted and drawn into a wire o

1.	The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.
Answer» Volume of a sphere = \(\frac{4}{3}\)πr³ Volume of a cylinder = πr²h Given, Diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Long wire can be assumed to be a cylinder. ⇒ \(\frac{4}{3}\)π x 3³ x h = π x 0.1² x l ⇒ l = 3600 cm = 36 m

The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.

Answer»

Volume of a sphere = \(\frac{4}{3}\)πr³
Volume of a cylinder = πr²h

Given,

Diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm.

Long wire can be assumed to be a cylinder.

⇒ \(\frac{4}{3}\)π x 3³ x h = π x 0.1² x l

⇒ l = 3600 cm = 36 m