Question
Tarik finds the volume of the cone in the image. What is the volume of the cone in cubic units? (1 point) Responses 66π cubic units 66 pi cubic units 396π cubic units 396 pi cubic units 132π cubic units 132 pi cubic units 242π cubic units height = 11 radius = 6
Answers
GPT-4o mini
To find the volume \( V \) of a cone, you can use the formula:
\[
V = \frac{1}{3} \pi r^2 h
\]
where \( r \) is the radius and \( h \) is the height of the cone.
In this case, the radius \( r \) is 6 units and the height \( h \) is 11 units. Plugging these values into the formula:
\[
V = \frac{1}{3} \pi (6^2)(11)
\]
Calculating \( 6^2 \):
\[
6^2 = 36
\]
Now substituting back into the equation:
\[
V = \frac{1}{3} \pi (36)(11)
\]
Calculating \( 36 \times 11 \):
\[
36 \times 11 = 396
\]
Now substituting this value into the volume formula:
\[
V = \frac{1}{3} \pi (396) = \frac{396}{3} \pi = 132 \pi
\]
The volume of the cone is:
\[
132\pi \text{ cubic units}
\]
Therefore, the answer is:
**132π cubic units**
\[
V = \frac{1}{3} \pi r^2 h
\]
where \( r \) is the radius and \( h \) is the height of the cone.
In this case, the radius \( r \) is 6 units and the height \( h \) is 11 units. Plugging these values into the formula:
\[
V = \frac{1}{3} \pi (6^2)(11)
\]
Calculating \( 6^2 \):
\[
6^2 = 36
\]
Now substituting back into the equation:
\[
V = \frac{1}{3} \pi (36)(11)
\]
Calculating \( 36 \times 11 \):
\[
36 \times 11 = 396
\]
Now substituting this value into the volume formula:
\[
V = \frac{1}{3} \pi (396) = \frac{396}{3} \pi = 132 \pi
\]
The volume of the cone is:
\[
132\pi \text{ cubic units}
\]
Therefore, the answer is:
**132π cubic units**