Calculus Math Problem Help Please! Thank You!!

Question

The base of a solid in the region bounded by the graphs of y = e^-x y = 0, and x = 0, and x = 1. Cross sections of the solid perpendicular to the x-axis are semicircles. What is the volume, in cubic units, of the solid?

 

a. (pi / 16)(e^2)

 

b. (pi / 16)(1-(1/e^2)

 

c. (pi / 4)(1-(1/e^2)

 

d. (pi / 16)(e^2 - 1)

Answer 1

(answer removed) I can't trust what I did, since I don't match your multiple-choice options.