Answer: In the answer I was able to match each sentence to the particular word they describe:
a. A desire for pleasure is VOLUPTUOUSNESS.
b. To belief that something might be true even though it cannot be confirmed is to SURMISE.
c. An extremely large number is a MYRIAD.
d. To pay a cost or expense is to DEFRAY.
e. A barren, open country covered with small shrubs is a HEATH.