Question

A cone has a diameter of 6 centimeters and a height that is 5 times the diameter. Using 3.14 for pi, which of the following can be used to calculate the volume of the cone?

Answer 1

The volume of the cone is calculated by the formula:

V = B*H/3
r=D/2 = 6/3 = 2
where B is surface area of basis and H is height.

B is circle which fomula for surface is:
B = r^2 * pi = 3^2*3,14 = 9*3,14 = 28.26

from condition of height we write:
H = 3*D = 3*6 = 18

now volume is:

If we express all of that in equation of volume we get:

V = 1/3* 3^2*3,14*18