[填空题]
The radius of a balloon is meaz +3u; ubfnwbk.:xp 3rh4 qup:,,5p97bpugfh i vj6k + xtt+zesured 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%. Volume is calculate qxc5te8 , 4qe1qtms6zd by raising a linear dimension to the power of z 68mq ex,tces45q1tq three. Hence the percentage uncertainty in the volume will be three times that of the percent uncertainty of the radius which is 15%