Find the surface area of a sphere, if its volume is 38808 cubic cm. (π = 22/7)

Question

Find the surface area of a sphere, if its volume is 38808 cubic cm. (π =\(\frac{22}7\))

Answer 1

Given: Volume of sphere = 38808 cubic cm. 

To find: Surface area of sphere 

Solution:

∴ r³ = 441 x 21 = 21 x 21 x 21 

∴ r = 21 cm … [Taking cube root on both sides] 

ii. Surface area of sphere = 4πr² 

= 4 x \(\frac{22}7\) x 21 

= 4 x \(\frac{22}7\) x 21 x 21 

= 4 x 22 x 3 x 21 

= 5544 sq.cm. 

∴ The surface area of sphere is 5544 sq.cm.