Question

The cones base has a radius of 2 inches and height of 6 inches. Anders 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.

(1 point)
Responses

24 cubic inches
24 cubic inches

25 cubic inches
25 cubic inches

13 cubic inches
13 cubic inches

75 cubic inches

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, and \( h \) is the height.

Given:
- The radius \( r = 2 \) inches
- The height \( h = 6 \) inches
- Use \( \pi \approx 3.14 \)

Now plug in the values:

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

First, calculate \( (2)^2 \):

\[
(2)^2 = 4
\]

Now substitute that value back into the equation:

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

Next, 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 take one-third of that:

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

Rounding 25.12 to the nearest cubic inch gives us:

\[
25 \text{ cubic inches}
\]

Therefore, the volume of the cone is:

**25 cubic inches**