Question

Find the volume of a sphere whose surface area is 154 cm.​

Answer 1

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Answer 2

Given,

Surface area of sphere is 154 cm^2

Surface area of sphere = 4πr^2

$4 \times \frac{22}{7} \times {r}^{2} = 154\\ {r}^{2} = \frac{154}{4} \times \frac{7}{22}\\{r}^{2} = \frac{49}{4} \\r = \sqrt{ \frac{49}{4} }\\r = \frac{7}{2}\\r= 3.5cm$

Volume of sphere = 4/3πr^3

$\frac{4}{3} \times \frac{22}{7} \times {3.5}^{3} \\ \frac{88}{21} \times 42.875 = 179.67 {cm}^{3}$

Therefore the volume of sphere is 179.67cm^3.