Hello, chibiusagi!
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: Code:

 *(10,4)
 * 
 * 
3 * 
 
 
 
   *      *  
 10
The equation of the line is: .
The region bounded by the line, the xaxis, the yaxis, and
. . is revolved about the xaxis.
(a) The total volume is: .
(b) The volume of the water is: .