1.

A metallic wire of length 3 km and thickness 4 mm is recasted to form a cube. The area of each face of cube is same as area of a circle. What will be the radius of the circle?(in cm) (Use π = 3.14)1). 17.282). 17.93). 18.134). 18.92

Answer»

Wire is in the shape of a right circular CYLINDER with height 300000 cm and DIAMETER 0.4 cm(radius 0.2 cm).

Volume of cube = Volume of wire

Let SIDE length of cube be T cm.

⇒ T3 = 3.14 X 0.2 x 0.2 x 300000

⇒ T3 = 37680

⇒ T = 33.525

Area of circle = Area of each face of cube = 33.525 x 33.525 = 1123.926 square cm

∴ Radius of circle = (1123.926/3.14)(1/2) = 18.92 cm


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