The diameter of a sphere is 42 cm. It is melted and drawn into a cylindrical wire of diameter 2.8cm then find the length of the wire​

Respuesta :

Answer:

Volume of sphere

[tex] = \frac{4}{3} \pi \: r ^{3} [/tex]

[tex] = \frac{4}{3} \times \frac{22}{7} \times {(21)}^{3} [/tex]

[tex] = 38808 \: cm^{3} [/tex]

Volume of cylindrical wire = Volume of sphere

[tex]\pi r^{2} h = \frac{4}{3} \pi \: r ^{3} [/tex]

[tex] \frac{22}{7} \times {(1.4)}^{2} h = 38808[/tex]

[tex]6.16h = 38808[/tex]

[tex]h = 6300 \: cm[/tex]

Length of wire = 6300 cm