If the volume of a sphere is 697 \frac{4}{21} {cm}^{3}, then its radius is ( Take \pi=\frac{22}{7})

SSC CHSL 11 Aug 2021 Shift 2 Paper

Section: Quantitative Aptitude

Question : 55 of 100

Marks: +1, -0

If the volume of a sphere is

697 \;{4}/{21}

{cm}^{3}

, then its radius is

(

Take

π=\;{22}/{7})

Solution:

Given, volume of sphere

\;\; =697 \;{4}/{21} {cm}^{3}

⇒ \;{4}/{3} π r^{3} \;\; =\;{14641}/{21}

⇒ \;\; r^{3} \;\; =\;{14641}/{21} × \;{7}/{22} × \;{3}/{4}=166.375

r \;\; =\;^{3}√{166.375}=5.5 {cm}

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