Question

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

Answer 1

Surface area of a sphere = 4πr² 

Given, 

surface area is 154 cm² 

⇒ 4 × \(\frac{22}{7}\) × r² = 154

⇒ r² = 49/4 

⇒ r = 3.5 cm 

Volume of a sphere =\(\frac{4}{3}\)πr³ 

⇒ Volume of the given sphere = \(\frac{4}{3}\)π × 3.5³ 

= 179.66 cm³