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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
$$V=\pi\int^a_0y^2 dx$$
How can we alter this to work out the volume obtained by rotating about the $y$ axis?
$$V=\pi\int^a_0y^2 dx$$
How can we alter this to work out the volume obtained by rotating about the $y$ axis?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.