### Compute the volume of the solid

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##### Reference no: EM131010400

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= abA(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 =

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