The curved surface area of the sphere is 154 cm². Find the volume of the sphere (rounded off to one digit after decimal).

179.7 cm³

We know that,

Surface area of a sphere = 4πr²

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

The curved surface area of the sphere is 154 cm2

4πr² = 154

= 4 × \(\frac{22}{7}\) × r² = 154

= r² = \(\frac{49}{4}\) 

= r = \(\frac{7}{2}\) 

So, volume = \(\frac{4}{3}\) × \(\frac{22}{7}\) × (\(\frac{7}{2}\))³

= \(\frac{4}{3}\) × 22 × \(\frac{49}{8}\) = \(\frac{539}{3}\) = 179.7