Question

select the correct option for the volume of the described solid. the base of solid is the region enclosed by the parabola y=4-2x² and the x-axis. cross-sections perpendicular to the y-axis are squares
Option A:12
Option B:18
Option C:16
Option D:20​

Answer 1

Answer:

The Disk Method

V=πb∫a[f(x)]2dx. The cross section perpendicular to the axis of revolution has the form of a disk of radius R=f(x). Similarly, we can find the volume of the solid when the region is bounded by the curve x=f(y) and the y−axis between y=c and y=d, and is rotated about the y−axis