[填空题]
The radius of a balloon is measuredlr+ jh6d/ak 2jcbc /iq 0v;6if to be $20.0 \pm 1.0 \; cm$. What is the percentage uncertainty in the calculated volume of the balloon? % (please exclude the $\%$ symbol with your answer and treat the balloon as a sphere)
参考答案: 15.0
本题详细解析: The uncertainty in the radius is 5%. Volumepw5kd (mb,z+m is calculated by raising a linear dimension to the power of three. Hence the percentage uncertainty in the volume will be three times that of the percent uncertainty of the radius which wpd+bmzk,5 (mis 15%