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Maurice needs to fill cans with pork and bean chili. The cans have a radius of $5$ inches and a height $11$ inches and will be filled with a tube that delivers $50\pi$ cubic inches of chili per second. Unfortunately, the tube continues to deliver chili at the same rate during the $2$ seconds it takes to transfer to a new can after finishing a can.

How many seconds will it take Maurice to fill $5$ cans with chili?

A

$35.5$ seconds

B

$37.5$ seconds

C

$38$ seconds

D

$40$ seconds

E

There is not enough information in the problem.

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