Question

find the volume of sphere whose surface area is 154 cm

Answer 1

Hi friend,
We have,
               surface area of sphere=154 cm
                                   4πr²=154
                                   r²=(154×7)/88
                                   r²=49/4
                                   r=7/2
therefore,            
                          volume=4/3πr³
                                      =4/3×22/7×343/8
                                      = 269.5cm³

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.