*6*

*Multiple integrals*

**6.1***Identify the curved wedge bounded by the surfaces* *y*^{2} = 4*ax*, *x* + *z* = *a* *and z* = 0, *and hence calculate its volume V*.

As will readily be seen from a rough sketch, the wedge consists of that part of a parabolic cylinder, parallel to the *z*-axis, that is cut off by two planes, one parallel to the *y*-axis and the other the coordinate plane *z* = 0.

For the first stage of the multiple integration, the volume can be divided equally ...

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