ABC26GN5027 · Volume and Surface Area
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2009 · Marks: · Difficulty:
The diameter of a sphere is 8 cm. It is melted and drawn into a wire of diameter 3 mm . The length of the wire is
(a)36.9 m
(b)37.9 m
(c)38.9 m
(d)39.9 m
Answer
Explanation
Let the length of the wire be $h$. Then, $$\begin{aligned} \pi \times \frac{3}{20} \times \frac{3}{20} \times h & =\frac{4}{3} \pi \times 4 \times 4 \times 4 \\ \Leftrightarrow h & =\left(\frac{4 \times 4 \times 4 \times 4 \times 20 \times 20}{3 \times 3 \times 3}\right) \mathrm{cm}=\left(\frac{102400}{27}\right) \mathrm{cm} \\ & =3792.5 \mathrm{cm}=37.9 \mathrm{m} \end{aligned}$$
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