Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = 0, x = 5, x = 7; about x = 1

Answer 1

Using Shell Method volume V = 2π∫₅⁷(x - 1)xdx = 2π(x³/3 - x²/2)₅⁷ = 2π[(7³/3 - 49/2) - (125/3 - 25/2)] =

1736π/3 = 1817.935