We know that the volume,V of a cylinder is given by:
[tex] V=\pi r^2h [/tex]
where r is the radius, h is the height of the cylinder.
Now, it has been given to us that the diameter of the cylinder is 8.5 in. Therefore, the radius of the cylinder will be half it's diameter and will be, [tex] r=\frac{1}{2}\times 8.5=4.25 [/tex] in.
The height, h=11.5 inches
Therefore, applying the formula we will get:
Volume, V=[tex] \pi (4.25)^2(11.5)\approx652.57 in^3 [/tex]
Thus, out of the given options, Option A is the correct option.
