Question

Find the volume of greatest right circular cone, which can be cut from a cube of a side 4 cm.

Let, diameter of cone be edge of the square.

∴ `l = square` cm

∴ h = `square` 4 cm

r = 2 cm

Volume of cone = `square`   ...........(Formula)

V = `1/3 π square^2 xx 4`

V = `square` cm³

Answer 1

Let, diameter of cone be edge of the square.

∴ `l` = \[\boxed{4}\] cm

∴ h = \[\boxed{4}\] cm

r = 2 cm

Volume of cone = \[\boxed{\frac{1}{3} πr^2h}\]   ...........(Formula)

\[V = \frac{1}{3} π\boxed{2}^2 \times 4\]

\[V = \frac{1}{3} π \times 4 \times 4\]

\[V = \frac{1}{3} π \times 16\]

\[V = \boxed{\frac{16}{3}π}\] or \[\boxed{16.76} \phantom{.} cm^3\]