We have the following:
We have that the volume of a cylinder is given by the following formula
[tex]V=\pi\cdot r^2\cdot h[/tex]
We can calculate the height of the cylinder and, since we know the volume and the radius, so
[tex]\begin{gathered} 89=\pi\cdot2^2\cdot h \\ h=\frac{89}{3.14\cdot2^2} \\ h=7.09 \end{gathered}[/tex]
Since the radius of cylinder x is double that of cylinder y, it means that the height would be double in the same way
[tex]h=7.08\cdot2=14.18[/tex]
Therefore the volume of cylinder x would be
[tex]\begin{gathered} V=3.14\cdot4^2\cdot14.18 \\ V=712.4\cong712 \end{gathered}[/tex]
Therefore, the answer is 712 cm^3
