Question : The surface area of a sphere is 221.76 cm2. Its volume (in cm3) is (correct to one decimal place): (Take $\pi=\frac{22}{7}$)
Option 1: 315.6
Option 2: 289.8
Option 3: 280.4
Option 4: 310.5
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Correct Answer: 310.5
Solution : The total surface area of the sphere = $4\pi r^2$ Where, $r$ = radius of the sphere According to the question, we have $4\pi r^2 = 221.76$ $⇒4 \times (\frac{22}{7}) \times r^2 = 221.76$ $⇒ r^2 = 17.64$ $\therefore r = 4.2\ \text{cm}$ Now, The volume of the sphere =$(\frac{4}{3}) \times \pi \times r^3=(\frac{4}{3}) \times (\frac{22}{7}) \times (4.2)^3= 310.5 \ \text{cm}^3$ Hence, the correct answer is 310.5 cm 3 .
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