IB Math 2023 AA HL TZ2 P2 paper preview

[yueningli]

In question 7, I have calculated the volume of the cylinder, taking pi/3 as the radius and 2+root 3 as the hegight of the cylinder, and subtracted the volume of the orginal function (arctan(x-2)) doing the intergral for the volume and taking the starting point of the intergral as 2 (intersection with x of the original function) and the final point as 2+root 3 (which is the intersection of pi/3 and the original function). Which gives me a value of 10.078... What is incorrect?