AP Calculus AB
12 Evaluate Graded Assignment- Area and
Volume
1. Write the appropriate notation for
each of the problems described for the
graph shown. Do Not Solve. (5 points each)
a) The area of the region between f(x)
and g(x).
g(x)
(7.5, 6)
f(x)
(3.6, 3.8)
b) The volume formed by semi-
circle cross sections
perpendicular to the x-axis
between f(x) and g(x).
c) The volume of a solid formed by
revolving the region between f(x)
and g(x) about the line y = 6.
d) The volume of a solid formed by
revolving the region between f(x)
and g(x) about the line y = -1.
e) The line k divides the area
between f(x) and g(x) in half.