Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 1-y^4, x = 0 about x=6

Answer 1

By washer method v = π∫_-1¹(36 - (5 + y⁴)²)dy = 2π∫₀¹(11 - 10y⁴ - y⁸)dy = 2π(11 - 2 - 1/9) = 160π/9