Question

the radius of a sphere is 3cm it is melted and drawn into a wire of radius 2mm. Find the length of the wire

Answer 1

the lenght of wire is 2/ x ki power

Answer 2

Answer:

900 cm.

Step-by-step explanation:

Radius of sphere = 3 cm

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

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

                              = $113.04$

Wire is in the shape of cylinder .

Radius of wire = 2mm =0.2 cm

Volume of cylinder = $\pi r^2h$

                               = $3.14 (0.2)^2h$  

Since we are given that the sphere is melted to form wire

So, volume of sphere = Volume of wire

$113.04=3.14 (0.2)^2h$

$\frac{113.04}{3.14 (0.2)^2}=h$

$900=h$

Hence the length of the wire is 900 cm.