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Math·Geometry and Trigonometry·Area and volume

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Right circular cylinders $A$ and $B$ are similar. The height of cylinder $A$ is 10 units, and the diameter of its base is equal to its height. The ratio of the diameter of the base of cylinder $A$ to the diameter of the base of cylinder $B$ is $3:7$. What is the volume, in cubic units, of cylinder $B$?

A

$250\pi$

B

$\frac{1,750\pi }{3}$

C

$\frac{12,250\pi }{9}$

D

$\frac{85,750\pi }{27}$