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

242π
cubic units
242 pi cubic units

132π
cubic units
132 pi cubic units

66π
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 of the base and \( h \) is the height of the cone.

Given that the height \( h = 11 \) units and the radius \( r = 6 \) units, we can calculate the volume:

1. Calculate the area of the base:
\[
r^2 = 6^2 = 36
\]

2. Substitute the values into the volume formula:
\[
V = \frac{1}{3} \pi (36)(11)
\]

3. Calculate \( 36 \times 11 \):
\[
36 \times 11 = 396
\]

4. Substitute back into the volume formula:
\[
V = \frac{1}{3} \pi (396) = 132\pi
\]

Therefore, the volume of the cone is:

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

**The correct response is: 132π cubic units.**