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Cylinders $A$, $B$, and $C$ all have the same height. The radius of $A$ is $5$, and the radius of $C$ is $10$.

If the volume of cylinder $B$ is the average of the volumes of $A$ and $C$, then what is the radius length for cylinder $B$?

A

$7$

B

$7.5$

C

$7.9$

D

$8.5$

E

$62.5$

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