Question

The volume of a sphere is a function of its​ radius,

Answer 1

Hi there!  

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I believe your answer is:  

$6525\text{cm.}^3$

Keep in mind that this is APPROXIMATE.

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Here’s why:  

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$\boxed{\text{Volume of a Sphere Is:}}\\\\V = \frac{4}{3} \pi r^3\\----------------\\\rightarrow \text{We are given the radius of } 11.6\text{ cm.}\\----------------\\V = \frac{4}{3}(3.14) (11.6)^3\\\\V = \frac{4}{3}(3.14) 1560.896\\\\V \approx 6534.95125\text{cm.}^3\\\\\boxed{V \approx 6535\text{cm.}^3}$

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Hope this helps you. I apologize if it’s incorrect.