A) 1 : 2
B) 1 : 4
C) 1: 6
D) 1 : 8
Correct Answer: B
Solution :
Let the radii of the two spheres be r and R, respectively So, \[\frac{\frac{4}{3}\pi {{r}^{3}}}{\frac{4}{3}\pi {{R}^{3}}}=\frac{1}{8}\Rightarrow {{\left( \frac{r}{R} \right)}^{3}}=\frac{1}{8}\] \[\therefore \] \[\frac{r}{R}=\frac{1}{2}\] Now, ratio of surface areas \[=\frac{4\pi {{r}^{2}}}{4\pi {{R}^{2}}}={{\left( \frac{r}{R} \right)}^{2}}={{\left( \frac{1}{2} \right)}^{2}}=\frac{1}{4}\]
You need to login to perform this action.
You will be redirected in
3 sec
