Question : The curved surface area of the sphere is 154 cm2. Find the volume of the sphere (rounded off to one digit after decimal).
Option 1: 156.9 cm3
Option 2: 179.7 cm3
Option 3: 161.1 cm3
Option 4: 147.8 cm3
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Correct Answer: 179.7 cm 3
Solution : Given, the curved surface area of the sphere is 154 cm 2 Let the radius of the sphere be $r$. $4πr^2 = 154$ ⇒ $4 × \frac{22}{7} × r^2 = 154$ ⇒ $r^2 = \frac{49}{4}$ ⇒ $r = \frac{7}{2}$ So, the volume of the sphere $= \frac{4}{3} × \frac{22}{7} × (\frac{7}{2})^3$ $=\frac{4}{3} × 22 × \frac{49}{8}$ $=11 × \frac{49}{3}$ $=\frac{539}{3}$ $=179.7$ cm$^3$ Hence, the correct answer is 179.7 cm$^3$.
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