Answer: [tex]760.26\ m^3[/tex]
Step-by-step explanation:
The volume of a cone can be calculated with the following formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Where "V" is the volume of the cone, "r" is the radius and "h" is the height of the cone.
In this case, according to data given in the exercise, you know that the conical pile of dirt has a radius of 11 meters and a height of 6 meters. Then, you can identify that:
[tex]r=11\ m\\\\h=6\ m[/tex]
So you can substitute these values into the formula:
[tex]V=\frac{1}{3}\pi (11\ m)^2(6\ m)[/tex]
Finally, evaluating, you get that the amount of cubic meters of dirt that there are in the conical pile is:
[tex]V=760.26\ m^3[/tex]
There will be 759.88 cubic meters dirt in the given pile
Step-by-step explanation:
Given
Radius = r = 11 meters
Height = h = 6 meters
The formula of volume is given by:
[tex]V = \frac{1}{3}\pi r^2h[/tex]
Putting the value
[tex]V = \frac{1}{3} * 3.14 * (11)^2 *6\\= 3.14 * 121 *2\\=759.88\ cubic\ meters[/tex]
Hence,
There will be 759.88 cubic meters dirt in the given pile
Keywords: Volume, cone
Learn more about volume at:
#LearnwithBrainly
