Question

Find the diameter of the sphere whose volume is 113⅐ cube metres.






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Answer 1

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Find the diameter of the sphere whose volume is 113⅐ cube metres.

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Since,

$Volume \: \: of \: \: Sphere = \frac{4}{3} \pi {r}^{3}$

So,

$113 \frac{1}{7} = \frac{4}{3} \pi {r}^{3 } \\ \\ \frac{792}{7} = \frac{4}{3} \times \frac{22}{7} {r}^{3} \\ \\ {r}^{3} = \frac{792}{7} \times \frac{3}{4} \times \frac{7}{22} \\ \\ {r}^{3} = 27 \\ \\ r = \sqrt[3]{27} \\ \\ r = 3m$

Therefore,

Diameter of the Sphere = 2 × r

= 2 × 3

= 6m

• Hope it's helpful :)