Find the volume of f(x)= 2-x^2 and g(x)=1 when rotated around the line y= 1

Alright, so when I do this I get the answer 86(pi)/15. According to the teacher's answer, it should be 16(pi)/15. I can't figure out what I did wrong, so can someone please solve this out and let me know what I messed up? Thank you!