Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^3, x = 2, and y = 1 about the y-axis. i got 93pi/5 but it was wrong. can anyone explain?

If you're using the shell method, the setup would be

Reasoning: consider just one shell (see the image below). The height of the shell is determined by the vertical distance between the curve and the line . The radius of each shell is determined by the value of , which can only range from 1 to 2 within the region of interest, and the height is determined exactly by at this . Multiply by to get the surface area of this infinitesimally thin cylindrical shell, then integrate along the interval [1, 2] to get the volume.

We have

$450

step-by-step explanation:

first, you have to multiply 150x2=300

next, you have to add 150+300= 450

ian gonna lie that is way to much