Question

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​

Answer 1

Answer:

Volume of sphere

$= \frac{4}{3} \pi \: r ^{3}$

$= \frac{4}{3} \times \frac{22}{7} \times {(21)}^{3}$

$= 38808 \: cm^{3}$

Volume of cylindrical wire = Volume of sphere

$\pi r^{2} h = \frac{4}{3} \pi \: r ^{3}$

$\frac{22}{7} \times {(1.4)}^{2} h = 38808$

$6.16h = 38808$

$h = 6300 \: cm$

Length of wire = 6300 cm