Question

Teh diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.

Answer 1

Diameter of a sphere $=6cm\therefore Radius\left(r\right)=\frac{6}{2}=3cmVolume=\frac{4}{3}\pi r^3=\frac{4}{3}\pi (3{)}^{3}c{m}^3\frac{4}{3}\times \pi \times 3\times 3\times 3=36\pi c{m}^3$
Diameter of wire drawn = 0.2 cm
$\therefore$ Radius $\left(r_1\right)=0.1cm=\frac{1}{10}cm$
Let Length of wire = h
$\therefore {\left(\frac{1}{10}\right)}^{2}h=36\Rightarrow \frac{1}{100}h=36h=36\times 100=3600cm=\frac{3600}{100}m=36m\therefore Lengthofwire=36m$