[填空题]
The radius of a ballo ip)ubkmddqad*c h2 m6-qe,lf+0 h,f8on is mg)+ajd -g+ x3v: zr4;umcchnhpn 5ji4easured 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 ds+,:n v7k ziecalculated by raising a linear dimension to the power of three. Hence the percentage uncertainty in the volume will be three timesds:,vnzke i7+ that of the percent uncertainty of the radius which is 15%