Question

Find the volume of a sphere whose surface is 314.sq cm

Answer 1

Hello friend

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==>> Given:

Surface area of sphere = 314.sq.cm

We have to find out it's volume

So,we know that

Surface area of a sphere =
$4\pi \: r {}^{2}$

By using the formula we get,

$314 = 4 \times 3.14 \times r {}^{2} \\ \\ \frac{314}{4 \times 3.14} = r {}^{2} \\ \\ \frac{31400}{4 \times 314} = r {}^{2} \\ \\ \frac{100}{4} = r {}^{2} \\ \\ 25 = r {}^{2} \\ \\ r = 5 \: cm$
Now......

We know that,

Volume of a sphere =

$\frac{4}{3} \pi \: r {}^{3}$

$= \frac{4}{3} \times 3.14 \times 5 {}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times 125 \\ \\ = 523.33 \: cu.cm$

I hope this will help you.....

Thanks....

:)