question_answer

A cone of height 12 cm and radius 14 cm is to be divided into two parts by cutting through the mid-point of vertical axis. Then, the volume of conical part is

A)  \[616\,\,c{{m}^{3}}\] 

B)  \[692\,\,c{{m}^{3}}\]

C) \[308\,\,c{{m}^{3}}\]  

D) \[346\,\,c{{m}^{3}}\]

Correct Answer: C

Solution :

Volume of conical part\[=\frac{1}{3}\pi {{\left( \frac{r}{2} \right)}^{2}}\left( \frac{h}{2} \right)\] \[=\frac{1}{3}\times \frac{22}{7}\times 7\times 7\times 6=308\,\,c{{m}^{3}}\]