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Robbie wants to build a cylindrical silo to store his farm food. Industrial-grade sheet metal costs $\$3$ per square foot.

If Robbie wants a silo that is $\cfrac{50}{\sqrtπ}$ feet in diameter and $30$ feet tall, how much money will he spend on sheet metal?

Assume the silo requires industrial-grade sheet metal on the top and bottom as well as the curved side.

A

$1500\sqrtπ+625$ dollars

B

$4500\sqrtπ+1875$ dollars

C

$500\sqrtπ+\cfrac{625}{3}$ dollars

D

$2,125$ dollars

E

$6,375$ dollars

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