Question

Surface area of sphere is 154 cm 2 .Find its volume

Answer 1

Let radius of sphere be r.

Surface area of sphere = 154

or, 4πr2 = 154 cm2

or, r= {154×7÷4×22}

or, r=7/2 cm

Volume of sphere = 4/3πr^3 cm3

={4/3×22/7×7/2} cm3

= 179 2/3 { 179 whole 2 upon 3} cm3

Therefore, the volume of the sphere is 179 whole 2 pon 3 cm3.

Answer 2

Answer:

Here is your answer..

Step-by-step explanation:

Surface area = 4πr² =154 cm²

$4 \times \frac{22}{7} \times r² = 154$

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

${r}^{2} = \frac{49}{4}$

$r = \frac{7}{2}$

Now,

$volume = \frac{4}{3} \pi {r}^{3}$

$volume = \frac{4}{3} \times \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times \frac{7}{2}$

$volume = \frac{539}{3}$

$volume = 179 \times \frac{2}{3}$

Hope it will help you..