[填空题]
The radius of a balloov+-3tp,wwfa ymct. i (wg/qb6hi z2m +n is measured 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 calculated bym*dsag :ri3;v gh,0mz raising a linear dimension to the power of three. Hence th3 h*0, szgmgmai:;dvr e percentage uncertainty in the volume will be three times that of the percent uncertainty of the radius which is 15%