Question

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

Options

• `(4pi)/3` cu cm

• `(5pi)/3` cu cm

• `(8pi)/3` cu cm

• `(2pi)/3` cu cm

Answer 1

The volume of the largest right circular cone that can be carved out from a solid cube of edge 2 cm is `underline((2pi)/3 "cu cm")`.

Explanation:

Radius of cone = `2/2` = 1 cm

Height of cone = 2 cm

Volume of cone = `1/3 pir^2h`

= `1/3pi*(1)^2 xx 2 = (2pi)/3` cu cm