Question 356351
By tapered, do you mean conical?
If so, the volume of a cone is
{{{V = pi*r^2*h/3}}}
A bucket is a frustum of a cone, that is, it doesn't extend to a point.
R1 = radius of top
R2 = radius of bottom
h = depth
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{{{V = h*pi*(R1^2 + R2^2 + R1*R2)/3}}}