Question

Find the volume of a sphere whse surface area is 154cm 2 .

Answer 1

Volume of sphere = 4/3*pi*r*r*r
SA=154 cm*cm(given)
Thus r=7/√2
Thus on solving volume will become
4*22*49*7/(7*3*2*√2)=508.18 cm*cm*cm

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

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

Therefore the volume of sphere is 179.67cm^3.