To solve for the volume of the cone, we need to use the formula for the volume of a cone:

$V = \frac{1}{3} \pi r^2 h$

Where:

• $r$ is the radius of the base,
• $h$ is the height of the cone.

From the image:

• The radius $r = 10$ units,
• The height $h = 6$ units.

Now, let's calculate the volume in two ways:

1. Exact answer in terms of $\pi$,
2. Approximate answer using $\pi \approx 3.14$.

I'll calculate that now.The volume of the cone is:

1. Exact answer in terms of $\pi$: $628.32 \, \text{units}^3$ (rounded to two decimal places),
2. Approximate answer using $\pi \approx 3.14$: $628.0 \, \text{units}^3$.

Would you like any further details or explanations?

Here are some related questions:

1. How do you derive the formula for the volume of a cone?
2. What is the relationship between a cone's volume and a cylinder's volume?
3. How do changes in the radius affect the volume of a cone?
4. How do changes in the height affect the volume of a cone?
5. Can the volume formula be applied to a slanted cone?

Tip: The volume of any cone is one-third of the volume of a cylinder with the same base and height!