Answer:To find the answer, you need to use the **formula for the volume of a cone**, which is:
volume = (1/3) × π × r² × h
where r is the radius of the base of the cone, h is the height of the cone, and π is a constant that is approximately equal to 3.14.
From the diagram, you can see that the radius of the base of the cone is half of the diameter, which is 6 meters. So, r = 6/2 = 3 meters.
The height of the cone is given as 7 meters. So, h = 7 meters.
Now, you can plug these values into the formula and calculate the volume:
volume = (1/3) × π × r² × h
volume = (1/3) × 3.14 × 3² × 7
volume = (1/3) × 3.14 × 9 × 7
volume = (1/3) × 197.82
volume = 65.94
Therefore, the volume of the cone is **65.94 cubic meters**.
I hope this helps you solve the question.
Explanation: