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John has two cylindrical bottles, each one foot tall. One bottle is $4$ inches in diameter and the other is $5$ inches in diameter.

If John completely fills the smaller bottle with water and then empties its contents into the larger bottle, how much more water can then be added to the larger bottle before it overflows?

A

$27π$ cubic inches

B

$108π$ cubic inches

C

$9π$ cubic inches

D

$12π$ cubic inches

E

None of these answers is correct.

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