Each of the following integrals represents the volume of either a
hemisphere or a cone, and the variable of integration measures a
length. In each case, say which shape is represented and give the
radius of the hemisphere or radius and height of the cone.
Make a sketch of the region, showing the slice used to find
the integral, labeling the variable and differential on your
sketch. Then evaluate the integral to find the area.
A.
Which is the shape of the region being integrated?
radius/radius and height =
(Enter the radius, or the radius and height separated by a
comma, e.g., 4, 3)
volume =
B.
Which is the shape of the region being integrated?
radius/radius and height =
(Enter the radius, or the radius and height separated by a
comma, e.g., 4, 3)
volume =
You can earn partial credit on this problem.