Question

Surface area of sphere, is 144 find Volume of sphere.​

Answer 1

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Surface area of Sphere :-

$\sf4\pi {r}^{2} = 144$

$\sf\pi {r}^{2} = \frac{144}{4}$

$\sf \frac{22}{7} {r}^{2} = 36$

$\sf {r}^{2} = 36 \times \frac{7}{22}$

$\sf {r}^{2} = \frac{126}{11}$

$\sf \: r = 3.38445646$

Volume of Sphere :-

$\sf \frac{4}{3} \pi {r}^{3} = \frac{4}{3} \times \frac{22}{7} \times {(3.38445646)}^{3}$

$\sf V≈162.39$