Hi, here are the parameters:

26-3-3

Find volume of the equation

y = 2 - x

rotated about X axis using disk method, boundaries are y = 0 and x = 0

Formula: V = pi (int) y^2 dx

Attempt:

since y = 2 - (2) = 0, 2 is an x-coordinate boundary. So the upper and lower limits of this integral are 2 and 0. X axis intercepts. Correct?

from there:

= pi (int) (2-x)^2

(2-x)^2 = 4 - 3x

= pi (int) 4 - 3x dx

= pi/3 (int) 4 - x dx

Integration:

= pi/3 4x - 1/2(x^2)

Plugging in 2 = 6.3776

However, the answer is 8.776. Any idea where I went wrong? thanks.