Question

Question
What is the volume of a cone with a diameter of 12 cm and a height of 11 cm? (1 point)
Responses

1,243.44 cubic centimeters
1,243.44 cubic centimeters

414.48 cubic centimeters
414.48 cubic centimeters

759.88 cubic centimeters
759.88 cubic centimeters

1,636.8 cubic centimeters

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,
- \( h \) is the height.

Given:
- The diameter of the cone is 12 cm, so the radius \( r \) is half of the diameter:
\[
r = \frac{12}{2} = 6 \text{ cm}
\]
- The height \( h \) is given as 11 cm.

Now, substituting the values into the volume formula:

\[
V = \frac{1}{3} \pi (6)^2 (11)
\]
\[
V = \frac{1}{3} \pi (36) (11)
\]
\[
V = \frac{1}{3} \pi (396)
\]
\[
V = 132 \pi \approx 132 \times 3.14 \approx 415.68 \text{ cubic centimeters}
\]

So the closest option to this calculation is:

**414.48 cubic centimeters**.