  In this paper aiming to obtain the Casimir energy between a sinusoidally
corrugated sphere and a plate, we first present a derivation of the
sphere-plate Casimir force obtained by applying proximity force approximation
(PFA). One may investigate this problem by using the scattering matrix method.
Despite that this method achieves the exact result, but difficulties of
applying this formalism make the procedure complicated. We use the PFA to
achieve the purpose in a truly explicit manner. Considering the sphere to have
different kinds of sinusoidally corrugations, we obtain the effect of
deformation on the Casimir interaction energy. We suppose that $ a/r \leqslant
0.00755$ for the validity of PFA and an experimental accuracy goal of
$1\verb"%"$ in the case of sphere with radius $r$ at a minimal distance $a$
from a plate \cite{0601094}. The effect of finite conductivity would be non
negligible for such short distances. To reduce the inaccuracy of the result
obtained by PFA, we have also investigate thermal corrections of the Casimir
force.
