The volume of the largest right circular cone that can be carved out from a solid cube of edge 2 cm is :

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Solution

Q.
The volume of the largest right circular cone that can be carved out from a solid cube of edge 2 cm is :

1 $\frac{4 π}{3}$ cu cm

2 $\frac{5 π}{3}$ cu cm

3 $\frac{8 π}{3}$ cu cm

4 $\frac{2 π}{3}$ cu cm

Ans.
(4)

Radius of cone = 1 cm

Height of cone = 2 cm

Volume of cone $= \frac{1}{3} π r^{2} h = \frac{1}{3} π {(1)}^{2} \times 2 = \frac{2 π}{3} cu cm$

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