Which of the following integrals represents the volume of the solid formed by revolving the region bounded by y=x^3, y=1, and x=2 about the line y=10?

Question

a) pi*∫from (8-1) of (10-y)(2-y^(1/3))dy
b) pi*∫ from (1-2) of (81-(10-x^3)^2)dx
c)2pi*∫from (1-8) of y(2-y^(1/3))dy
d) pi∫ from (1-2) of (1-(10-x^3)^2)dx
e)2pi*∫from (1-8) of (y+9)(10-y^3)dy

Answer 1

y=1, and x=2

Bogus limits. Fix one or the other.

In any case, the radius is 10-y and v = pi r^2 h