Question : What is the diameter (in cm) of a sphere with a surface area of 6.16 sq. cm?
Option 1: 1.4
Option 2: 0.7
Option 3: 2.8
Option 4: 2.1
Correct Answer: 1.4
Solution :
Let the radius be $r$.
The total surface area of a sphere = $4\pi r^2$
⇒ $6.16=4\pi r^2$
⇒ $6.16=4×\frac{22}{7}×r^2$
⇒ $r^2=\frac{49}{100}$
$\therefore r=0.7$ cm
Diameter = $2×r=2×0.7=1.4$ cm
Hence, the correct answer is 1.4.
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