Question

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

Answer 1

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Answer 2

Answer:

291600 mm                  

Step-by-step explanation:

Radius of sphere = 9 cm

1 cm = 10 mm

So, 9 cm = 90 mm

Diameter of wire = 2 mm

Radius = Diameter /2 = 2/2 = 1 mm

Since The sphere is melted into wire so volume will remain same .

Volume of sphere = $\frac{4}{3} \pi r^{3}$

                               = $\frac{4}{3}\times 3.14 \times (90)^{3}$                        

Since wire is in the form of cylinder.

So, formula of volume of cylinder =  $\frac{1}{3} \pi r^{2} \times h$

                               = $\frac{1}{3}\times 3.14 \times (1)^{2}\times h$

Since The sphere is melted into wire so volume will remain same .

⇒     $4\times (90)^{3}= h$        

⇒     $291600 mm= h$    

Hence the length of wire is 291600 mm