Question

The volume of the largest circular cone that can be cut of a cube whose edge is 8 cm is ________.

• A. $131.09c{m}^3$
• B. $132.09c{m}^3$
• C. $133.09c{m}^3$
• D. $134.09c{m}^3$

Answer 1

The correct option is D $134.09c{m}^3$

Given that, the edge of the cube is $8cm$.

To find out: The volume of the largest cone that can be cut from the cube.

For the largest cone, the diameter and height must be equal to the edge of the cube.

Hence, radius of the cone $=8÷2=4cm$

and height of the cone $=8cm$

We know that,

Volume of a cone $=\frac{1}{3}\times \pi r^{2}h$

$\therefore$ Volume of the largest cone will be:

$\frac{1}{3}\times \frac{22}{7}\times 4^2\times 8=134.09$ [using $\pi =\frac{22}{7}$]

Hence, the volume of the largest cone that can be cut from a cube of edge $8cm$ is $134.09c{m}^3$