The volume of the sphere is 38,808 cm3. What is the surface area of the sphere ?
Answer & explanation
Correct answer: option 3
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