Calculus ll - Finding Volume

Question

find the volume of the solid obtained by rotating the region enclosed by the graphs about the given axis.

y=16-2x, y=6, x=0m about x-axis.

Answer 1

16 - 2x = 6; x = 5; v = π∫₀⁵[(16 - 2x)² - 36]dx = π∫₀⁵(220 - 64x + 4x²)dx = π(220x - 32x² + 4x³/3)₀⁵ = 1400π/3