Assume you have measured your little metal sphere's diameter to be 2.500 ± 0.005 cm and its mass to be 63.00 ± 0.05 g.

whats the volume and the error of the volume

given the diameter of your sphere and the error on that reading (given in the introduction to this problem), what is the percent error on the measurement?

using your simple rule devised in part b. g) of the lab, what would you estimate the percent error to be on the volume?

what percent error on the volume do you find if you use your answer to part a as the error on the volume?

in this case does the rule of thumb (part c) overestimate or underestimate the more precise error determination (part d)?

a: overestimate

b: underestimate

Neptune is the eighth planet from the sun. it was the first planet to get its existence predicted by  mathematical calculations  before it was actually seen through a telescope on sept. 23, 1846. irregularities in the orbit of  uranus  led french astronomer alexis bouvard to suggest that the gravitational pull from another celestial body might be responsible. german astronomer johann galle then relied on subsequent calculations to   spot neptune via telescope. previously, astronomer galileo galilei sketched the planet, but he mistook it for a star due to its slow motion. in accordance with all the other planets seen in the sky, this new world was given a name from greek and roman mythology — neptune, the roman god of the sea.