  In this article, we aim at obtaining the analytical expression ({\bf not
previously found and recorded in the literature}) for the exact curved surface
area of a hyperboloid of one sheet in terms of Srivastava-Daoust triple
hypergeometric function. The derivation is based on Mellin-Barnes type contour
integral representations of generalized hypergeometric function$~_pF_q(z)$,
Meijer's $G$-function, decomposition formula for Meijer's $G$-function and
series rearrangement technique. Further, we also obtain the formula for the
volume of a hyperboloid of one sheet. The closed forms for the exact curved
surface area and volume of the hyperboloid of one sheet are also verified
numerically by using {\it Mathematica Program}.
