A) 4 : 1
B) 8 : 1
C) 2 : 1
D) 6 : 1
Correct Answer: B
Solution :
[b] Let the cone is divided into two parts by a line, In \[\Delta AOB\]and \[\Delta ACD\] \[\Delta AOB\sim \Delta ACD\] \[\Delta AOB\sim \Delta ACD\] By basic proportionality theorem, \[CD=\frac{T}{2},\] since\[AC=\frac{h}{2}\] Required ratio \[=\frac{\frac{1}{3}\pi {{r}^{2}}h}{\frac{1}{3}\pi {{\left( \frac{r}{2} \right)}^{2}}\left( \frac{h}{2} \right)}=\frac{8}{1}\] \[\therefore \] Ratio = 8 : 1 |
You need to login to perform this action.
You will be redirected in
3 sec