Question

Find volume of sphere where surface area is 154 cm2

Answer 1

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Answer 2

Answer

Given surface area = ${154}^{2}$

Let the radius of sphere is r

$= > 4\pi \: {r}^{2} = 154 \\ = > 4 \times \frac{22}{7} \times {r}^{2} = 154 \\ = > {r}^{2} = \frac{154 \times 7}{22 \times 4} \\ = > {r}^{2} = 12.25 \\ = > r = \sqrt{12.25} \\ = > r = 3.5 \\ radius \: is \: 3.5 \\ v = \frac{4}{3} \times \pi \times {r}^{3} \\ v = \frac{4}{3} \times \frac{22}{7} \times 3.5 \times 3.5 \times 3.5 \\ v = 179.6 {cm}^{3}$ \\

Volume is $\huge\bold{179.6}$ ${cm}^{3}$