Question

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

V=43πr3.

Evaluate the function for the volume of a volleyball with radius

11.6

cm.


​

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 = (4)/(3) \pi r^3\\----------------\\\rightarrow \text{We are given the radius of } 11.6\text{ cm.}\\----------------\\V = (4)/(3)(3.14) (11.6)^3\\\\V = (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.