https://file.aiquickdraw.com/mathbot/file/172131959467956r17lh6.png

What is the volume of the cone? (Use 3.14 for 𝜋)

To find the volume of the cone in the image, we use the formula for the volume of a cone:

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

Given:
- The radius \( r \) of the base of the cone is 3 feet.
- The height \( h \) of the cone is 8 feet.

Using the approximation \( \pi \approx 3.14 \):

\[ V = \frac{1}{3} \times 3.14 \times (3)^2 \times 8 \]

First, calculate the radius squared:

\[ (3)^2 = 9 \]

Next, substitute this into the volume formula:

\[ V = \frac{1}{3} \times 3.14 \times 9 \times 8 \]
\[ V = \frac{1}{3} \times 3.14 \times 72 \]
\[ V = \frac{1}{3} \times 226.08 \]
\[ V = 75.36 \text{ cubic feet} \]

Thus, the volume of the cone is \( 75.36 \) cubic feet.

Would you like any more details or have any questions?

Here are some related questions you might want to ask:
1. How do you derive the formula for the volume of a cone?
2. What is the surface area of the cone?
3. How do you calculate the volume of a sphere?
4. What is the relationship between the volume of a cylinder and a cone?
5. How do you find the lateral surface area of a cone?

**Tip:** When solving geometry problems, always ensure that all measurements are in the same unit before performing calculations.

Learn how to calculate the volume of a cone with a radius of 3 feet and a height of 8 feet using the formula V = (1/3) * π * r^2 * h. Follow a detailed step-by-step solution with π approximated as 3.14. Suitable for students in Grades 9-12.

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