Question: 1. If x has been measured as 4.0 ± 0.1 cm, what should I report for x2 and x3 Give percent and absolute uncertainties, as determined by the rule for a power.
2. If I have measured the radius of a sphere as r = 2.0 ± 0.1 m, what should I report for the sphere's volume?
3. A visitor to a medieval castle measures the depth of a well by dropping a stone and timing its fall. She finds the time to fall is t = 3.0 ± 0.5 sec and calcu-lates the depth as d = sigr2. What is her conclusion, if she takes g = 9.80 m/s2 with negligible uncertainty?