Let a and h be positive real numbers. Let E be the surface in R³ given by 4a.x = y? + z2. (a) Find the volume of the region enclosed between E and the plane x = h. (b) Show that the surface area of the part of E with x < h is SrVa ((a + h)/² – aV?). (a + h)³/2 – a³/²) . 3

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