Step 1: List the given values.
[tex]\begin{aligned} & \%(v/v) = 30.0\% \\ & V_{\text{solution}} = \text{135 mL} \end{aligned}[/tex]
Step 2: Calculate the volume of solute (benzene).
[tex]\begin{aligned} V_{\text{solute}} & = \frac{\%(v/v)}{100\%} \times V_{\text{solution}} \\ & = \frac{30.0\%}{100\%} \times \text{135 mL} \\ & = \boxed{\text{40.5 mL}} \end{aligned}[/tex]
Hence, the volume of benzene in the solution is 40.5 mL.
[tex]\\[/tex]
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