A dimensionally consistent relation for the volume \( V \) of a liquid of coefficient of viscosi...

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A dimensionally consistent relation for the volume \( V \) of a liquid of coefficient of viscosity \( \eta \) flowing per second through a tube of radius \( r \) and length \( l \) and having a pressure difference \( p \) across its end, is
(a) \( V=\frac{\pi p r^{4}}{8 \eta l} \)
(b) \( V=\frac{\pi \eta l}{8 p r^{4}} \)
(c) \( V=\frac{8 p \eta l}{\pi r^{4}} \)
(d) \( V=\frac{\pi p \eta}{81 r^{4}} \)
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