If the volume of a sphere is 4851$cm^{3}$ then its surface area (in $cm^{2}$) is: (Take $\pi = \frac{22}{7}$)

1386

We know that,

Surface area of sphere = 4πr²

Volume of sphere = \(\frac{4}{3}\)πr³

The volume of the sphere = 4851 cm³

Volume of sphere = 4851 = \(\frac{4}{3}\)× \(\frac{22}{7}\)× r³

= r³ = 441 × \(\frac{21}{8}\)

= r = \(\frac{21}{2}\)

Surface area of sphere = 4 × \(\frac{22}{7}\)× (\(\frac{21}{2}\))²

= 4 × \(\frac{22}{7}\)× \(\frac{441}{8}\)

= 22 × 63 = 1386