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The volume of a right circular cone which is obtained from a wooden cube of edge 4.2 dm wasting minimum amount of word is :
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- 19404 cu. dm
- 194.04 cu. dm
- 19.404 cu. dm
- 1940.4 cu. dm
- 19404 cu. dm
Correct Option: C
The volume of cone should be maximum.
∴ Radius of the base of cone = | ||
2 |
= | = 2.1 dm. | |
2 |
Height = Edge of cube = 4.2 dm.
∴ Volume of cone = | πr²h | |
3 |
= | × | × 2.1 × 2.1 × 4.2 | cu.cm. | ||||
3 | 7 |
= 19.404 cu. dm.