question_answer

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

A)  \[\frac{2673}{14}\,\,\text{c}{{\text{m}}^{3}}\]

B)  \[\frac{2683}{14}\,\,\text{c}{{\text{m}}^{3}}\]

C)  \[\frac{2693}{14}\,\,\text{c}{{\text{m}}^{3}}\]

D)  None of these

Correct Answer: A

Solution :

Radius of base (r) \[=\frac{9}{2}\,\,\text{cm}\] Height of cone  = 9 cm \[\therefore \]Volume of cone \[=\frac{1}{3}\times \pi \times \frac{9}{2}\times \frac{9}{2}\times 9=\frac{2673}{14}\text{c}{{\text{m}}^{3}}\]