Question

find the valume of a sphere whose surface area is 155 square​

Answer 1

Surface area of a sphere = $4\pi r^{2} = 154cm^{2}$

⇒$4*\frac{22}{7} r^{2} = 154cm^{2}$

⇒ $r^{2} = \frac{154}{4} * \frac{7}{22}$

⇒ $r^{2} = \frac{49}{4}$

⇒ $r^{2} = \sqrt{\frac{49}{4} }$

∴ $r = \frac{7}{2} = 3.5cm$

Volume of the sphere = $\frac{4}{3} \pi r^{2}$

$= \frac{4}{3} * \frac{22}{7} *(3.5)^{2}$

$=\frac{88}{21} * 42.875$

$= 179.67cm^{3}$

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Answer 2

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