Question

A metallic sphere of radius 15 cm is melted and a wire of diameter 1 cm is drawn from it. Find the length of the wire.

Answer 1

Dear student,

Answer: length of wire would be 17992.76 cm.

Solution:

Given that Radius of sphere 15 cm.

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

= $\frac{4}{3} (3.141) ((15)^{3})$

= 14137.17 cm³

Radius of wire = 1/2 = 0.5 cm

Wire is considered to be cylinder = π r² h

π r² h = 14137.17

h = 14137.17/π r²

h = (14137.17× 7) /(22 ×0.5²)

h = 17992.76 cm

length of wire is 17992.76 cm.

Hope it helps you.

Answer 2

Answer:

h=18,000cm

Step-by-step explanation:

Please refer to the above attachment.