Find the volume of a sphere whose surface area is 154 cm².

Solution:

Given surface area of the sphere = 154 cm²

4r² = 154

4×(22/7)×r² = 154

r² = (154×7)/(4×22)

r² = 49/4

r = 7/2

Volume of the sphere = (4/3)r³

= (4/3)×(22/7)×(7/2)³

= 539/3

= 179.666

= 179.67 cm³ (approx)

Hence the volume of the sphere is 179.67 cm³