A) \[4264.4\,\,\pm \,\,81.0\text{ }c{{m}^{3}}\]
B) \[4264\,\,\pm \,\,81c{{m}^{3}}\]
C) \[4300\,\,\pm \,\,80\text{ }c{{m}^{3}}\]
D) \[4260\,\,\pm \,\,80\text{ }c{{m}^{3}}\]
Correct Answer: D
Solution :
| [d] \[V=\frac{\pi {{D}^{2}}h}{4}\] |
| \[V=\frac{\pi }{4}\times {{\left( 12.6 \right)}^{2}}\times 34.2\] |
| \[V=4262.229\] |
| Answer should be in three significant numbers |
| As D & h. both have 3 significant figures |
| \[\therefore \,\,\,V=4260\] |
| \[\frac{dV}{V}=2\frac{dD}{D}+\frac{dh}{h}\] |
| \[dV\,=\,\left[ 2\times \frac{0.1}{12.6}+\frac{0.1}{34.2} \right]\,\times \,4260\] |
| \[dV=80\] |
| \[\therefore \,\,\,V=4260\,\,\pm \,\,80\,c{{m}^{3}}\] |
You need to login to perform this action.
You will be redirected in
3 sec
