Which of these infinitely deep vessels will eventually full up?
Age 16 to 18 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.