a sphere of radius 6 cm is melted and drawn into a wire of radius 0.3 cm find the length of the wire
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Answer:
900cm
Step-by-step explanation:
Diameter of the sphere = 6 cm.
Therefore the radius of the sphere = 6/2 = 3 cm.
Volume of the sphere = 4/3 * 22/7 * 3 * 3 * 3 cu. cm.
The sphere is beaten and drawn into a wire, the wire is a cylinder of diameter 0.4.
Length 'l' is to be calculated,
Area of the base of the cylinder = pi * r*r = 22/7 * 0.2 * 0.2 Sq. cm.
Volume of the wire = pi * r*r * l = 22/7 * 0.2 * 0.2 * l
Therefore, 22/7 * 0.2 * 0.2 * l = 4/3 * 22/7 * 3 * 3 * 3
Therefore, l = 4/3 * 22/7 * 3 * 3 * 3 * 7/22 * 1/0.04
l = 36 * 1/0.04
l = 900 cm.
anjali7884:
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