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

The Correct Option is C

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