Question : If the surface area of a sphere is 346.5 cm2, then its radius is: (Take $\pi=\frac{22}{7}$)
Option 1: 7 cm
Option 2: 3.25 cm
Option 3: 5.25 cm
Option 4: 9 cm
Correct Answer: 5.25 cm
Solution :
Given: Surface area of a sphere = 346.5 cm
2
Let the radius of the sphere be $r$.
We know, the surface area of a sphere $= 4\pi r^2$
⇒ $346.5 = 4\pi r^2$
⇒ $r^2$ = $\frac{346.5×7}{4×22}$
⇒ $r^2= 27.5625$
$\therefore r = 5.25$ cm
Hence, the correct answer is 5.25 cm.
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