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
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
Updated On: Oct 4, 2024
- 260 cm3
- 260.9 cm3
- 261.9 cm3
- 262.7 cm3
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The Correct Option is C
Solution and Explanation
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
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