Question

An edge of a cube measures 10 cm. If the largest possible cone is cut out of this cube, then the volume of the cone is

• A. 260 cm3
• B. 260.9 cm3
• C. 261.9 cm3
• D. 262.7 cm3

Answer 1

Answer: (C)

261.9 cm3

Answer 2

We have given that the edge of cube = 10 cm

and the Radius of the largest possible cone = 5 cm as side is 10 cm

the height of cone = 10 cm same as cube

Volume of Cone = $\frac{1}{3} \pi r^2h$

= $\frac{1}{3} × \frac{22}{7} × (5)^2 × 10$

$\frac{25 ×220}{21}$ = $261.9\ cm^3$

The correct option is (C): 261.9