Answer
No
Work Step by Step
The highest possible pressure will occur at the lowest possible volume. Thus, using the equation for pressure given in the problem, we find that the pressure is:
$P = (1)(\sqrt{\frac{17}{8.7}})=1.39 \ atm$
Thus, the pressure requirement is met. We also know that the lowest volume will occur at the highest pressure. Thus, it follows:
$1.5 = (1)(\sqrt{\frac{17}{V}}) \\ V=7.56 \ m^3$
The criteria are not met, for this is less than $8.7 \ m^3$.