How do you figure out the percent uncertainty in the volume of a sphere when you know its radius with a particular degree of certainty?

I have never had to do a problem like this, so apologies if I lead you astray.

I would start here: what’s the relationship between the radius of a sphere and its volume?

@nikipedia You did get me started in the right direction. What I have done is to use calculus to derive the formula for the volume of a sphere, then multiply this by the absolute uncertainty (given as .09m). Dividing this by the formula for the volume of the sphere (not the derived formula) and multiplying comes out as 9%, after adjusting for significant digits.

You know the percent uncertainty of your radius so I think you can determine through a relationship, which is your sphere volume calculation, what your min and max values are, and from those numbers calculate your percent uncertainty of the volume. Basically what nikipedia said.