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A cylinder has a radius of length $y$ units and height of length $x$ units, where $x$ and $y$ are positive values less than $100$.

If the cylinder's diameter is reduced by $x\%$, what is new the volume of the cylinder? Express your answer in terms of $x$ and $y$.

A

$\pi x(\cfrac{yx}{100})^2$

B

$\pi x(\cfrac{y(100-x)}{100})^2$

C

$\pi x(y(1-x))^2$

D

$x(\cfrac{2y(100-x)}{100})^2$

E

$\pi x(\cfrac{2yx}{100})^2$

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