JaeliannaO327250 JaeliannaO327250
  • 25-10-2022
  • Mathematics
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Sam wants to fill his ball up with air.If the ball has a diameter of 13 inches, how much air will it hold? Round to the nearest tenths

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VanshT740343 VanshT740343
  • 25-10-2022

Answer:

Explanation:

In order to find how much air the balloon will hold, we need to find its volume.

The volume of the ball with radius r is given by

[tex]V=\frac{4}{3}\pi r^3[/tex]

Now, in our case r = 13 in /2 = 6.5 in, and therefore,

[tex]V=\frac{4}{3}\pi(6.5)^3[/tex][tex]V=177.0[/tex]

which is our answer!

Hence, the ballon will hold 177 cubic inches of air.

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