Answer: 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
Answer:
[tex]V=32\pi (units)^{3}[/tex]
Also it can be expressed as [tex]V=100.531(units)^{3}[/tex]
Step-by-step explanation:
Given a cone of radius ''R'' and height ''h'' we can calculate its volume ''V'' using the following equation :
[tex]V=\pi .R^{2}.(\frac{1}{3}).h[/tex] (I)
We know that the diameter ''d'' is equal to the radius ''R'' multiply by 2 ⇒
[tex]d=2R[/tex]
We have the following data of the cone :
[tex]d=8units[/tex]
[tex]h=6units[/tex]
First we calculate the radius of the base ⇒
[tex]d=2R[/tex]
[tex]R=\frac{d}{2}=\frac{8units}{2}=4units[/tex]
[tex]R=4units[/tex]
Now we replace the height and the radius of the base in the equation (I) ⇒
[tex]V=\pi .(4units)^{2}.(\frac{1}{3}).6units[/tex]
[tex]V=32\pi (units)^{3}[/tex]
Also we can expressed it as :
[tex]V=32\pi (units)^{3}=100.531(units)^{3}[/tex]
[tex]V=100.531(units)^{3}[/tex]
