A) 4 : 9
B) 8 : 27
C) 3 : 4
D) 2 : 3
Correct Answer: D
Solution :
Let their volume be \[{{V}_{1}}\]and \[{{V}_{2}}.\] \[{{V}_{1}}:{{V}_{2}}=8:27\] \[\frac{\frac{2}{3}\pi r_{1}^{3}}{\frac{2}{3}\pi r_{2}^{3}}=\frac{8}{27}=\frac{r_{1}^{3}}{r_{2}^{3}}=\frac{8}{27}\] \[\frac{{{r}_{1}}}{{{r}_{2}}}=\sqrt{\frac{8}{27}}=\frac{2}{3}\] \[\therefore \] \[{{r}_{1}}:{{r}_{2}}=2:3\]
You need to login to perform this action.
You will be redirected in
3 sec
