Question

Use the image to answer the question.

A cone of height 11 and radius 6 is shown.

Tarik finds the volume of the cone in the image. What is the volume of the cone in cubic units?

(1 point)
Responses

396π cubic units
396 pi cubic units

66π cubic units
66 pi cubic units

242π cubic units
242 pi cubic units

132π cubic units

Answer 1

The volume \( V \) of a cone can be calculated using the formula:

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

where \( r \) is the radius and \( h \) is the height of the cone.

Given:
- Radius \( r = 6 \)
- Height \( h = 11 \)

Now, plug the values into the formula:

\[
V = \frac{1}{3} \pi (6^2) (11)
\]

Calculate \( 6^2 \):

\[
V = \frac{1}{3} \pi (36) (11)
\]

Now multiply \( 36 \) and \( 11 \):

\[
36 \times 11 = 396
\]

Now substitute back into the volume formula:

\[
V = \frac{1}{3} \pi (396)
\]

Now divide by 3:

\[
\frac{396}{3} = 132
\]

Thus, the volume of the cone is:

\[
V = 132\pi \text{ cubic units}
\]

The answer is:

**132π cubic units**