SSC CHSL 5 Aug 2021 Shift 3 Paper

Section: Quantitative Aptitude

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Question : 54 of 100

Marks: +1, -0

The radius of a sphere is

9 {cm}

. It is melted and drawn into a wire of radius

0.3 {cm}

. The length of the wire is

$112 {m}$
$108 {m}$
$118 {m}$
$106 {m}$

Solution:

Let the length of the wire be

x {m}

.
According to the question,
Volume of sphere

\; \;\; =\;\text " Volume of wire (cylinder) "\;

\;{4}/{3} × π ×(9)^{3} \;\; =π ×(0.3)^{2} × x

∴ \;x \;\; =\;{4}/{3} × \;{72900}/{9}

\; \;\; =10800 {cm}

∴ \;x \;\; =108 {m}[ ∵ 1 {m}=100 {cm}]

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