[填空题]
The density of a solid sphere is measured with perceri13ey58y u ztq8j:b+rglqe 2ntage ;7-)yfz;e sikkhbr8 cuncertainty of 5%. The radius of the sphere is 4.0 ± 0.2 cm. What is the percentage uncerta ik;yf hc -)s;8rzk7beinty in the mass of the sphere? % (Please do not include the % simbol in the blank)
参考答案: 20.0
本题详细解析: The mass of the sphere can be ;r0z ql (mp.43u edyefcalculated by multiplying its volume by the density of the material of whichez d3 q yp0elu;rm4.(f it is made: $$M=\frac{4}{3} \pi r^3 \rho$$ so the percentage uncertainty in $M$ is $$\frac{\Delta M}{M}=3 \frac{\Delta r}{r}+\frac{\Delta \rho}{\rho} .$$ The percentage uncertainty in $r$ is $5 \%$, so the percentage error in $M$ is $(3 \times 5 \%)+5 \%=20 \%$
Post time 2024-8-21 21:38:19