Question 65464
Let the height of the cone be 'h' m
Radius of the cone = 6 m

The volume of the cone = (1/3) Pi r^2 *h

==> (1/3)(Pi)* 36 * h = 180
==> Pi * 36*h = 180 x 3  [multiplying by 3 ]
==> Pi * 36h = 540
==> Pi * h = 540 / 36
==> Pi * h = 15
==> h = 15/Pi
==> h = 15/3.14  [as Pi = 3.14]
==> h = 4.78

Thus the height of the cone = 4.78 m

Good Luck!!!