Question

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 cm

I 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 1

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.