Question

Calculate the radius and surface area of a sphere of volume 850m cube

Answer 1

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Here is the solution..

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Volume of sphere = $\frac{4}{3} πr^{3}$ \\

850m³ = $\frac{4}{3} \frac{22}{7} r^{3}$

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$\frac{850 \times 7 \times 3}{22 \times 4} = {r}^{3} \\ \frac{17850}{88} = r^{3}$

$\frac{26.13}{2 \times \sqrt[3]{11} } = {r}$

$\frac{13.065}{ \sqrt[3]{11} } = r \\ \\ \frac{13.065}{2.2} = r \\ \\ 5.9 = r$

$r = 6m \: (approx)$

Now surface area of sphere = 4πr²

= 4 x 3.14 x 6²

= 12.56 x 36

= 452.6m²

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