A) \[\frac{2}{3}\alpha \]
B) \[\frac{5}{2}\alpha \]
C) \[\frac{3}{2}\alpha \]
D) \[\alpha \]
Correct Answer: C
Solution :
| [c] \[S=\]\[4\pi {{R}^{2}}\] |
| In \[S=In(4\pi )+In({{R}^{2}})\] |
| In \[S=2\] In \[R\] |
| \[\frac{\Delta S}{S}=2\frac{\Delta R}{R}=\alpha \] |
| \[\frac{\Delta R}{R}=\frac{\alpha }{2}..............(1)\] |
| \[V=\frac{4}{3}\pi {{R}^{3}}\] |
| In \[V=In(\frac{4}{3}\pi )+In\,\,{{R}^{3}}\] |
| In \[V=3\,\,In\,\,R\] |
| \[\frac{\Delta V}{V}=3\frac{\Delta R}{R}\] |
| \[\frac{\Delta V}{V}=3(\frac{\alpha }{2})\]m |
You need to login to perform this action.
You will be redirected in
3 sec
