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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!

Find the volume of the cone. Either enter an exact answer in terms of π or use 3.14 for π. The cone has a height of 6 units and a base radius of 10 units.

Learn how to calculate the volume of a cone with a height of 6 units and a base radius of 10 units. This tutorial provides both an exact answer in terms of π and an approximate solution using 3.14 for π. Suitable for students in Grades 8-10.

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