question_answer

Find the volume of the largest right circular cone that can be cut out of cube whose edge is 9 cm:               

A)  \[56c{{m}^{2}}\text{ and }560c{{m}^{2}}\]          

B)  \[560c{{m}^{2}}\text{ and }56c{{m}^{2}}\]             

C)  \[56c{{m}^{2}}\text{ and 61}6c{{m}^{2}}\]                

D)  \[{{r}^{2}}\]              

Correct Answer: A

Solution :

Radius of the largest cone, \[\Delta AOB\]edge of the cube \[Arc\frac{\theta }{{{360}^{o}}}\times 2\pi r,\] Also, height of the cone h = edge of the cube = 9 cm Hence, the required volume \[\theta \] \[(\pi =3.14)\]