SSC CHSL 10 Aug 2021 Shift 1 Paper

Section: Quantitative Aptitude

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Question : 51 of 100

Marks: +1, -0

A solid metallic sphere of radius 10

\mathrm{cm}

is melted and recast into spheres of radius

2 \mathrm{~cm}

each. How many such spheres can be made?

64
216
100
125

Solution:

Let the number of required sphere be

n

.
According to the question,

n × \;{4}/{3} × π ×(2)^{3}=\;{4}/{3} × π ×(10)^{3}

⇒ \;\; n=\;{(10)^{3}}/{(2)^{3}}=\;{1000}/{8}=125

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