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What is the radius of a sphere having volume of 4851cm^3? (Take π = \(\frac{22}{7}\))(a) 9 cm(b) 11 cm(c) 10.5 cm(d) 11.3 cmI had been asked this question in an internship interview.My question comes from Volume of a Sphere in section Surface Areas and Volumes of Mathematics – Class 9

Answer»

Correct option is (c) 10.5 CM

The explanation: We know that VOLUME of a sphere of radius r is EQUAL to \(\frac{4}{3} πr^3\).

\(\frac{4}{3} πr^3\) = 4851

\(\frac{4}{3} * \frac{22}{7} * r^3\) = 4851

\(r^3 = \frac{9261}{8}\)

Therefore, r = \(\frac{21}{2}\) = 10.5 cm.



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