[填空题]
The radius of a balloon is meas2 ks20nwqre jxr,in/)ure2v,yz)ur ql6g :2jyi ud 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 by raisirqb77.tn gd(mvzpe zc9k-i( )ng a linear dimensipvnt.q)bz(( md9 g ce-i7rz7kon 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 is 15%