Problem 2.1:
Apply the disk method to find the volume of the unit sphere obtained by revolving the
region below the graph of
f (x) = 
from
x = - 1 to
1 about the
x-axis.
Problem 2.2:
Apply the shell method to find the volume of the solid obtained by revolving the region
below the graph of
f (x) = x2 from
x = 0 to
1 about the
y-axis (this solid looks
like a cylinder with a bowl carved out of the top).
Problem 2.3:
Compute the volume of the square pyramid with base in the
x = 0 plane with sides of
length
10 and vertex at the point
(5, 0), using the cross-sectional area method.
