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  1. 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 :
    1. 19404 cu. dm
    2. 194.04 cu. dm
    3. 19.404 cu. dm
    4. 1940.4 cu. dm
Correct Option: C


The volume of cone should be maximum.

∴ Radius of the base of cone =
Edge of cube
2

=
4.2
= 2.1 dm.
2

Height = Edge of cube = 4.2 dm.
∴ Volume of cone =
1
πr²h
3

=
1
×
22
× 2.1 × 2.1 × 4.2cu.cm.
37

= 19.404 cu. dm.



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