[填空题]
The radius of a balloon 6cl dt(p( q2llis measurefjujm;j8ylr sg ;:(z6/tb w )ne , gs6;b4epqed 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 raising a l4;rs/t kqr+ kj4z,mj hinear dimension 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 isqrt ,4;kjsj4m r+zhk/ 15%