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# Find the volume of a sphere whose surface area is 154 $${cm}^2$$ .

Given :
Surface area of sphere = 154 $${cm}^2$$.
Let radius of sphere be r.

But, we also know that,
Surface area of sphere = $$4{\pi}{r}^2$$
$$\Rightarrow$$ 154 $${cm}^2$$= $$4 × \frac{22}{7} × {r}^2$$
$$\Rightarrow$$ $${r}^2 = (\frac{154 × 7}{4 × 22})$$ $${cm}^2$$
$$\Rightarrow$$ r = $$\frac{7}{2} cm$$
$$\Rightarrow$$ r = 3.5 cm

Now, Volume of sphere
= $$\frac{4}{3}{\pi}{r}^3$$
= $$\frac{4}{3} × \frac{22}{7} × {3.5}^3$$ $${cm}^3$$
= $$179\frac{2}{3}$$ $${cm}^3$$

Therefore , the volume of the sphere is
= $$179\frac{2}{3}$$ $${cm}^3$$.