Bradford T. answered 02/12/21
Tutor
4.9
(29)
Retired Engineer / Upper level math instructor
Look like the shell method would be the easiest.
V = 2π∫10 xy dx = 2π∫10 4x+x6dx = 2π[2x2+x7/7]10
= 2π[2+ 1/7] = 30π/7 sq units

-axis.