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The radius of a sphere is 9 cm. It is melted and drawn into a wire of diameter 2 mm. Find the length of the wire in metres.

Answer:

**Solution:**

Even if the new shape may be different, when we change one solid shape into another, its volume stays the same.

Radius of the sphere, r = 9 cm

Volume of the sphere, V = (4/3)π r^{3}

= (4/3)π 9^{3}

= 12π x81

= 972π cm^{3}

Diameter of the wire = 2 mm

So radius of the wire = 2/2 = 1 mm = 0.1 cm

Since the sphere is melted and drawn into a wire, volume remains the same.

Volume of the wire, π r^{2}h = 972

x 0.1^{2} x h =972

h = 972/0.1^{2}

h = 972/0.01

h = 97200 cm

h = 972 m

**Hence the length of the wire is 972 m.**

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