Question

Find the volume of a sphere whose surface area is 314cm.

Answer 1

$\huge\bold{Solution}$
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Given:-

T. S. A of sphere = 314cm²

Find:-

Volume of sphere = ?
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T. S. A of Sphere = 314cm²

$4\pi×r^{2}$ = 314cm²

$4×\dfrac{22}{7}$r² = 314cm²

$\dfrac{88}{7}$r² = 314cm²

r² = 314 × $\dfrac{7}{88}$

r = 2√6 cm

☆Volume of Sphere = $\dfrac{4}{3}\pi{r^{3}}$

=> $\dfrac{4}{3}$×$\dfrac{22}{7}$(2√6)³

After solving this, we get

=> 495.65 cm³
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HOPE IT HELPS YOU OUT ☆☆