[填空题]
The radius of a ballqe mf1 qx2e)ftf.3qr e9*ga4 u3p4 +hvvb qxdqx7;vl(oon 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 by raisl dvi2frz9jj1q3n2ew95*ok 2 y mptg()g7 vqving a linear dimezd kqgngv9w5vf9yo) *jp m2 32l1ev(72riqjt nsion 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%