Question

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

height 11

radius 6

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 of the base of the cone,
- \( h \) is the height of the cone.

Given the height \( h = 11 \) units and the radius \( r = 6 \) units, we can substitute these values into the formula:

\[
V = \frac{1}{3} \pi (6)^2 (11)
\]
\[
V = \frac{1}{3} \pi (36) (11)
\]
\[
V = \frac{1}{3} \pi (396)
\]
\[
V = 132 \pi
\]

Therefore, the volume of the cone is:

\[
V \approx 132 \times 3.14 \approx 415.68 \, \text{cubic units}
\]

So the exact volume is \( 132 \pi \) cubic units, and approximately \( 415.68 \) cubic units.