A drinking glass has the shape of a truncated cone.
If the radii of the base and the top are 3 cm and 4 cm respectively
and the depth is 10 cm, (a) find by intergration, its capacity.
(b) If the glass is filled with water to a depth of 5 cm,
find the volume of the water.
Turn the glass 90°; the diagram looks like this:
The equation of the line is: .
| * |
| * |
3 * |
- - - * - - - - - * - -
The region bounded by the line, the x-axis, the y-axis, and
. . is revolved about the x-axis.
(a) The total volume is: .
(b) The volume of the water is: .