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

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

where:

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

From the image:

• The radius $r = 4$ inches.
• The height $h = 7$ inches.

Substitute these values into the formula:

$V = \frac{1}{3} \pi (4)^2 (7)$

Now, let's compute the volume step by step:

$V = \frac{1}{3} \pi (16) (7)$ $V = \frac{1}{3} \pi (112)$ $V = \frac{112}{3} \pi$

Now, let's compute the numerical value and round it to the nearest tenth:

$V \approx \frac{112}{3} \times 3.14 \approx 117.3 \, \text{in}^3$

So, the volume of the cone is approximately 117.3 cubic inches.

Would you like to know more details or have any questions?

Here are some related questions:

1. How do you find the volume of a cylinder?
2. What is the difference between the volume formulas for a cone and a sphere?
3. How would the volume change if the height were doubled?
4. What are some real-life applications of finding the volume of cones?
5. How do you calculate the surface area of a cone?

Tip: Always check your measurements and units when solving geometry problems to ensure accuracy.