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$P_1= \large\frac{4T}{r_1}$

$P_2= \large\frac{4T}{r_2}$

$\large\frac{P_1}{P_2}=\frac{r_2}{r_1}$

$\large\frac{r_2}{r_1}$$=3$

$r_2=3r_1$

ratio of volumes

$\large\frac{V_1}{V_2}=\frac{\Large\frac{4 \pi}{3} r_1^3}{\Large\frac{4 \pi}{3}r_2^3}$

$\qquad= \bigg(\large\frac{r_1}{r_2}\bigg)^3$

$\qquad=\bigg(\large\frac{1}{3}\bigg)^3$

$\qquad= \large\frac{1}{27}$

Hence b is the correct answer.

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