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prestonshelton
Hello!

To find the volume of a cone you use the equation

[tex] \pi r^{2} \frac{h}{3} [/tex]

r is the radius and h is height

The radius is half the diameter

[tex] \pi 6^{2} \frac{29}{3}[/tex]

Put this into a calculator and you get the answer of 1093.27

We can round this to 1093.3

The answer is 1093.3 cubic meters

Hope this helps!
facundo3141592

We will see that the volume of the shown cone is 1,093.3 m^3

How to get the volume of the cone?

The volume of a cone of height H and radius R is:

V = pi*R^2*H/3

where pi = 3.14159

In this case, H = 29m, and the diameter is 12m, so the radius is half of that:

R = 12m/2 = 6m

Then, replacing that on the volume equation, we get:

V = 3.14159*(6m)^2*29m/3 = 1,093.3 m^3

So the correct option is the second one.

If you want to learn more about volumes, you can read:

https://brainly.com/question/1972490