Question

The surface area of sphere is 616 cm^2. find its volume

Answer 1

$\huge\sf\pink{Answer}$

☞ Your Answer is 1077.02 cm³

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$\huge\sf\blue{Given}$

✭ Surface Area of a sphere is 616 cm²

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$\huge\sf\gray{To \:Find}$

◈ Its Volume?

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$\huge\sf\purple{Steps}$

Surface Area of a sphere is given by,

$\underline{\boxed{\sf Surface \ Area = 4\pi r^2}}$

Substituting the given values,

➝ $\sf 4 \times \dfrac{22}{7} \times r^2 = 616$

➝ $\sf r^2 = \dfrac{616}{4 \times \pi}$

➝ $\sf r^2 = 49.0197$

➝ $\sf r = \sqrt{49.0197}$

➝ $\sf \red{r = 7.0014}$ (approx)

Volume of a sphere is given by,

$\underline{\boxed{\sf Volume = \pi r^3}}$

Substituting the value of r,

»» $\sf 3.14 \times 7^3$

»» $\sf \orange{Volume = 1077.02 cm^3}$

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Answer 2

♻️ Questions ♻️

The surface area of sphere is 616 cm^2. find its volume?

♻️ Answer ♻️

Let us assume that radius of sphere be r.

✏️given✏️

4πr²=616

$4 \times \frac{22}{7} + {r}^{2} = 616$

${r}^{2} = \frac{616 \times 7}{4 \times 22}$

${r}^{2} = 49$

$r = \sqrt{49}$

$r = 7 \: cm$

✍️Now,

Volume of sphere is 4/3πr³

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

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

$= 1437.33 {cm}^{3}$

✴️ Volume of sphere is 1437.33 cm ³ ✴️