The base of a certain solid is the triangle with vertices (0,0), (7,0), and (0,4). Cross-sections perpendicular to the y-axis are isosceles triangles with height equal to the base.
V= a∫bA(y) dy to find the volume of the solid.
The lower limit of integration is a =
The upper limit of integration is b =
The base of the triangular cross-section is the following function of y:
The area of the triangular cross-section is A(y)=
Thus the volume of the solid is V =