[填空题]
The radius of a balloon is mea: n1n7n-qiesixio,z6 sured tof5x7q dod7/q81 xmqm k 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%. Volume is calculated by rai7((b1qoeb,;e gflio2fr d6 ng sing a linear dimension to the power of three. Hence the percentage uncertainty in the lq(ro6 b;1eidf7fn2(, eo ggb volume will be three times that of the percent uncertainty of the radius which is 15%