Questions: What is the volume of this cone? Use π ≈ 3.14 and round your answer to the nearest hundredth. cubic inches

Solution Steps

The volume of a cone is given by the formula:

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

Where:

• $V$ is the volume
• $r$ is the radius of the base
• $h$ is the height

From the image, we have:

• $h = 14$ in
• $d = 10$ in (diameter)

Since the radius is half of the diameter, we have:

• $r = \frac{d}{2} = \frac{10}{2} = 5$ in

We are also given that:

• $\pi \approx 3.14$

Substitute the values into the formula:

$V = \frac{1}{3} \times 3.14 \times 5^2 \times 14$ $V = \frac{1}{3} \times 3.14 \times 25 \times 14$ $V = \frac{1}{3} \times 1099$ $V \approx 366.3333$

Rounding to the nearest hundredth, we get: $V \approx 366.33$ cubic inches

Final Answer: