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The average diameter of one tennis ball in a package of three is 6.8 cm. Which of the following is the combined volume of all three tennis balls? Use 3.14 for pie and round your final answer to the nearest hundredth

Sagot :

facundo3141592

We want to find the combined volume of 3 tennis balls. We will get that the combined volume is 493.7 cm^3

First, remember that for a sphere of diameter D, the volume is:

[tex]V = \frac{4}{3}*3.14*(\frac{D}{2})^3[/tex]

Where 3.14 is pi.

Here we know that the average diameter of a tennis ball is 6.8cm, then we can replace that in the above equation to find the volume (in average) of a single tennis ball:

[tex]V = \frac{4}{3}*3.14*(\frac{6.8cm}{2})^3 = 164.5 cm^3[/tex]

Now, in 3 balls of tennis, the combined volume will be 3 times the above one, this is:

[tex]3*V = 3*164.5cm^3 = 493.7 cm^3[/tex]

If you want to learn more about volumes, you can read:

https://brainly.com/question/10171109

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