Can you please tell me if i worked the following out correctly?

1. Rotate this around the x-axisoutside radius =2. Rotate around

inside radius =

(thats suppose to be -1 to 2 but i cant get latex to work)

outside radius =3. Rotate around x = -2

inside radius =

(thats suppose to be -1 to 2 but i cant get latex to work)outside radius =Thanks in advance

inside radius =