Question

Find the volume of the solid formed by rotating the region bounded by: y=x^2+2 and y=x+8 around the line, x=4. Leave the answer in terms of pi. (calculus)

Answer 1

use formula for the volumes by cylindrical shells...
1) Find point in intersection of two graphs - will give you int limits:
x^2+2=x+8
I got x=-2 & x= 3
2) v= int (from -2 to 3) 2*pi * (4-x)*(x+8 - x^2-2)dx = ...
should be OK from this point
let me know if there is a problems with solution