%path = "maths/integral/defined/volume/rotation" %kind = chindnum["problems"] %level = 12 A glass cup shall be formed through rotation of the following delimiting functions:
\(y={{ chutil.TX(chiven.u) }}\), 0<=x<1
\(y={{ chutil.TX(chiven.v) }}\), 1<=x<{{ chiven.d }}
\(y={{ chutil.TX(chiven.w) }}\), {{ chiven.d }}<=x<{{ chiven.h }}
\(y={{ chutil.TX(chiven.z) }}\), {{ chiven.g }}<=x<{{ chiven.h }}
  1. Sketch the functions and the glass cup.
  2. Calculate the needed glass volume. V = %chq()