The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 4 − x2, 0 ≤ x ≤ 3

The area of the surface is 2.72 units

Step-by-step explanation:

The area of a curve y = (x) a ≤x ≤ b rotated about the y axis is given by:

y = 4 - x²

dy / dx = -2x

(dy/dx)² = (-2x)² = 4x²

Hence:

The area of the surface is 2.72 units

this is answer of 144 cubic meters