1. The problem statement, all variables and given/known data Find the volume of the solid whose base is the region bounded by the lines x=0, y=0, and y= 3*(4-x)^1/2 and whose corss-sections perpendicular to the x-axis are rectangles whose heights are two times the base. 2. Relevant equations b*h 3. The attempt at a solution The function ends at 4, so limits are 0 to 4. Height is 2x base so we have 2b^2 4 ∫2*(3(4-x)^1/2)^2 0 And then solve the definite integral, I believe that is correct.