Which of these infinitely deep vessels will eventually full up?
Stage: 5 Challenge Level:
For revolution of a curve $y=f(x)$ about the $x$ axis between $0$
and $a$, the volume of revolution is
How can we alter this to work out the volume obtained by rotating
about the $y$ axis?
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.