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