why is the volume of this cone 36n cm^3 use n=3.14
V = 1/3 nr^2 h
height = 12
diameter = 6
To find the volume of the cone, we first need to calculate the radius of the cone using the given diameter and then substitute the values into the formula.
Given that the diameter is 6 cm, the radius (r) can be calculated by dividing the diameter by 2:
r = 6 cm / 2 = 3 cm.
Next, we substitute the values into the formula for the volume of a cone:
V = (1/3) x 3.14 x (3 cm)^2 x 12 cm.
V = (1/3) x 3.14 x 9 cm^2 x 12 cm.
V = 9.42 x 108 cm^3.
V = 36n cm^3.
Therefore, the volume of the cone is 36n cm^3 when the value of n is 3.14.