The diameter of the base of the cone measures 8 units. the height measures 6 units. a cone has a diameter of 8 units and a height of 6 units. what is the volume of the cone?

V = 100.48

Step-by-step explanation:

To get this value, you need to know the formula of the volume of the cone, which is:

V = π*r^2*h / 3

Where:

r: cone radius

h: height

π: value of pi which is 3.14

Now the radius, is half the diameter of base of the cone so:

r = 8 / 2 = 4 units

Now we have all the data needed to get the volume of the cone, let's use the expression given above:

V = 3.14 * (4)^2 * 6 / 3

V = 3.14 * 16 * 6 / 3

V = 301.44 / 3

V = 100.48

Also it can be expressed as

Step-by-step explanation:

Given a cone of radius ''R'' and height ''h'' we can calculate its volume ''V'' using the following equation :

(I)

We know that the diameter ''d'' is equal to the radius ''R'' multiply by 2 ⇒

We have the following data of the cone :

First we calculate the radius of the base ⇒

Now we replace the height and the radius of the base in the equation (I) ⇒

Also we can expressed it as :

a negative exponent is translated as follows:

so, we have