AP CALCULUS BC
Section 7.2 – day 1: DISK AND WASHER METHODS
1.
Sketch the region defined by the curves y = x2 and the x-axis on the
interval [0, 2] on the below axis:
2.
Sketch the solid of revolution that is generated when the above region is
revolved about the x-axis:
3.
“Slice” your solid perpendicular to the x-axis – what does each slice look
like? Let’s use this to find the volume of this solid!
AP CALCULUS BC
Section 7.2 – day 1: DISK AND WASHER METHODS
Set up and evaluate the integral that gives the volume of the solid formed
by revolving the region about the x-axis.
Set up and evaluate the integral that gives the volume of the solid formed
by revolving the region about the y-axis.
AP CALCULUS BC
Section 7.2 – day 1: DISK AND WASHER METHODS
Set up BUT DO NOT SOLVE an integral that finds the volume of the solid
generated by revolving the region bounded by the graphs of the equations
about the indicated lines.
1.
,
(a) the x-axis
(b)
(a) the y-axis
(b) the line
(a) the y-axis
(b) the line
2.
3.