[填空题]
The radius of a ballooqy11 b*xis g 3rptd+(bn is measuj vi*fh lf1g5x7:xw2ared 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 lineajb t/z7x1*cm0ng ,g wsr dimension to the power of three. Hence the percentage uncertainty in the volume will be three times thatbwgt0sz g/ c1*jmn,7x of the percent uncertainty of the radius which is 15%