A piece of ductile metal is in the formof a cylinder of diameter 1 cm and length 5 cm. It is drawn out into a wire of diameter 1 mm. What will be the length of the wire so obtained ?

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

A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 m of uniform thickness. Find the thickness of the wire.

A solid lead ball of radius 7 cm is melted is converted into a wire of diameter 0.2 cm. find its length of the wire.

A wire is in the form of a circle with diameter 21 cm. It is cut and bent into a square. Find the area of the square.

A metallic right circular cone 20 cm high and whose vertical angle is 60^@ is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter 1/16 cm, find the length of the wire.

Resistance of a metal wire of length 2 m is 40 ohm. If the diameter of the wire is 0.3 mm. What will be the resistivity of the metal at that temperature?

A wire of length 28cm is to be cut into two pieces, one of the pieces is made into a square and other into an equilateral triangle. What should be the lengths of the two pieces so that the combines area of both square and an equilateral triangle is minimum.