Answer: 4m
The volume of a cone is given as
V = pi x r^2 x h/3
From the figure, we are given the volume to be 151 m^3
Diameter of the cone = 12m
Pi = 3.14
Since, radius = diameter/ 2
r = 12/2
r = 6m
V = 151
r = 6m
Pi = 3.14
Substitute the above values into the above formula
151 = 3.14 x 6^2 x h / 3
151 = 3.14 x 36 x h / 3
Introduce cross multiplication
151 x 3 = 3.14 x 36 x h
453 = 113.04h
Divide both sides by 113.04
453/113.04 = 113.04h/113.04
h = 453/113.04
h = 4.00 m
The answer is 4m
