The region bounded by the lines and for is revolved about the line
MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
The region bounded by the lines x=y and x=4−y for 0≤y≤2 is revolved about the line x=1.
a. Identify the value of y at which the line x=1 intersects the region boundary.
b. Write the definite integral(s) required to compute the total volume of the resulting solid.
c. Evaluate the integral(s) to obtain the exact volume.