Evaluate this integral value, Mathematics

The base of a right cylinder is the circle in the xy-plane with centre O and radius 3 units. A wedge is obtained by cutting this cylinder with the plane through the y-axis inclined at 600 to the xy-plane, as shown in the diagram.

957_angel.png

(a) A rectangular slice ABCD is taken perpendicular to the base of the wedge at a distance x from the y-axis. If the slice is xδ thick, show that the volume of the slice is given by

1491_root equations.png

(b) Explain why the volume of the wedge may be represented by 1577_limda.pngdx Evaluate this integral, using calculus methods, to find the exact volume of the wedge.

Posted Date: 2/26/2013 12:24:20 AM | Location : United States







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