Question

If a sphere of volume 220 $c{m}^3$ is beaten and made
into a wire of a diameter of 0.2 cm, the length of
wire is

• A. 700 mts
• B. 70000 cm
• C. 17000 cm
• D. 7000 cm

Answer 1

Answer: (D)

7000 cm

Given: volume = $220c{m}^3$ and diameter = $0.2cm$

Volume of sphere = Volume of wire (Cylinder)

$\begin{array}{c}220c{m}^3=\pi r^{2}h\\ 220c{m}^3=\pi {\left(\frac{d}{2}\right)}^{2}h\\ h=\frac{220\times 4}{\pi \times {\left(0.2\right)}^2}=7000cm\end{array}$

Therefore, the length of the wire is $7000cm$