Question

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x), y = 8 cos(x), 0 ≤ x ≤ π/4; about y = −1

Answer 1

To find the volume of the solid formed by rotating the region bounded by the curves y = 8 sin(x) and y = 8 cos(x) about y = -1, we can use the method of cylindrical shells.

Step-by-step explanation:

The volume V of the solid obtained by rotating the region bounded by the curves y = 8 sin(x), y = 8 cos(x), and 0 ≤ x ≤ π/4 about the line y = -1 can be found using the method of cylindrical shells.