Let R be the region enclosed by the y-axis, the line y=1 and the curve y=x^3. A solid is generated by rotating R about the line y=1. What is the volume of the solid

The volume of the solid is 19. unit³

Step-by-step explanation:

The given function is y = x³

The solid is created by revolving R about the line y = 1

We have that when y = 1, x = 1

Taking the end point as x = 2, we have the volume given by the washer method as follows;

Where;

a = 1, and b = 2, we have;

g(x) = 1

The volume of the solid, V = unit³ = 19. unit³