A region is bounded by x=y^2 and x=4, and y=0 and revolved about the line x=5. Find the volume of the solid using shell method.

Question

Use the shell method to find the volume.

Answer 1

USING THE SHELL METHOD

V = 2π ∫₀⁴ [ 5−x ] √x d x = (416π) / 15

USING THE DISC METHOD

V = π ∫₀² [ (5−y² )² − 1² ] d y = (416π) / 15