Answer:
volume of the cone is 11.48 cubic centimeters
Step-by-step explanation:
Assuming we have to find volume of the cone:
We can use volume of cone formula to solve this problem.
Volume of Cone = [tex]\frac{1}{3} \pi r^2 h[/tex]
Where r is the radius (half of diameter)
h is the height of cone
Given,
diameter is 4 cm, the radius is 4/2 = 2 cm
r = 2
height is 6 times diameter, that is
h = 6 * 4 = 24
h = 24
Now, putting in the values and using 3.14 for [tex]\pi[/tex], we get volume:
[tex]V=\frac{1}{3} \pi r^2 h\\V=\frac{1}{3} (3.14) (2)^2 (24)\\V=100.48[/tex]
The volume of the cone is 11.48 cubic centimeters