Question

A cone with a radius of 6 ft and a height of 8 ft. What is the volume of the cone in the image? Round the volume to the nearest cubic foot, and use 3.14 for the value of pi.(1 point)The volume of the cone is cubic feet.

Answer 1

To find the volume of a cone, you can use the formula:

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

where:
- \( V \) is the volume,
- \( r \) is the radius, and
- \( h \) is the height.

Given:
- Radius (\( r \)) = 6 ft
- Height (\( h \)) = 8 ft
- \( \pi \approx 3.14 \)

Now, plug in the values:

\[
V = \frac{1}{3} \times 3.14 \times (6^2) \times 8
\]

First, calculate \( 6^2 \):

\[
6^2 = 36
\]

Now substitute that back into the equation:

\[
V = \frac{1}{3} \times 3.14 \times 36 \times 8
\]

Next, calculate \( 36 \times 8 \):

\[
36 \times 8 = 288
\]

Now substitute that back into the equation:

\[
V = \frac{1}{3} \times 3.14 \times 288
\]

Now calculate \( 3.14 \times 288 \):

\[
3.14 \times 288 \approx 903.52
\]

Finally, divide by 3:

\[
V = \frac{903.52}{3} \approx 301.17
\]

Now, rounding this to the nearest cubic foot, we get:

\[
\text{Volume} \approx 301 \text{ cubic feet}
\]

Thus, the volume of the cone is \( \boxed{301} \) cubic feet.