Zoey finds the volume of the cone in the image. What is the volume of this cone in cubic inches? Use 3.14 to represent pi and round the volume to the nearest cubic inch. 2 in is the radius and 6in is the height

1 answer

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 of the base of the cone,
  • \( h \) is the height of the cone,
  • \( \pi \) is approximately 3.14 in this case.

Given:

  • Radius \( r = 2 \) inches
  • Height \( h = 6 \) inches

Now, substitute the values into the formula:

\[ V = \frac{1}{3} \times 3.14 \times (2)^2 \times (6) \]

Calculate \( (2)^2 \):

\[ (2)^2 = 4 \]

Now substitute that back into the formula:

\[ V = \frac{1}{3} \times 3.14 \times 4 \times 6 \]

Now calculate \( 4 \times 6 \):

\[ 4 \times 6 = 24 \]

Now substitute that back in:

\[ V = \frac{1}{3} \times 3.14 \times 24 \]

Now calculate \( 3.14 \times 24 \):

\[ 3.14 \times 24 = 75.36 \]

Now divide by 3:

\[ V = \frac{75.36}{3} = 25.12 \]

Finally, round \( 25.12 \) to the nearest cubic inch:

\[ \text{Volume} \approx 25 \text{ cubic inches} \]

So, the volume of the cone is approximately \( \boxed{25} \) cubic inches.