  Our present investigation is motivated essentially by several interesting
applications of generalized hypergeometric functions of one, two and more
variables. The hypergeometric functions are potentially useful and have
widespread applications related to the problems in the mathematical, physical,
engineering and statistical sciences. In this article, we aim at obtaining the
analytical expression (not previously found and recorded in the literature) for
the exact curved surface area of a frustum of hemiellipsoid in terms of
Appell's function of second kind and general triple hypergeometric series of
Srivastava. The derivation is based on Mellin-Barnes type contour integral
representations of generalized hypergeometric function$~_pF_q(z)$, Meijer's
$G$-function and series manipulation technique. The closed form for the exact
curved surface area of a frustum of hemiellipsoid is also verified numerically
by using {\it Mathematica Program}.
