The volume of the sphere is 38,808 cm³. What is the surface area of the sphere ?

5544 cm²

We know that,

The volume of Sphere = \(\frac{4}{3}\)πr³

The total surface area of sphere = 4πr²

We have,

The volume of the sphere = 38808 cm³

= \(\frac{4}{3}\)πr³= 38808

= \(\frac{4}{3}\) × \(\frac{22}{7}\)× r³ = 38808

= r³ = 38808 × \(\frac{7}{22}\)× \(\frac{3}{4}\)

= r³ = 9261

= r = 21

Now, The total surface area of sphere = 4πr² = 4 × \(\frac{22}{7}\)× 21 × 21 =  The surface area of the sphere = 5544 cm²