Question

Use the image to answer the question.

An inverted cone of height 6 inches and radius 2 inches is shown.

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

25 cubic inches
25 cubic inches

24 cubic inches
24 cubic inches

75 cubic inches
75 cubic inches

13 cubic inches

Answer 1

To find the volume of a cone, we can use the formula:

\[
V = \frac{1}{3} \pi r^2 h
\]

where \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.

Given:
- Height (\( h \)) = 6 inches
- Radius (\( r \)) = 2 inches
- \( \pi \approx 3.14 \)

Now, we can substitute the values into the volume formula:

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

Calculating \( (2^2) \):

\[
(2^2) = 4
\]

Now substitute that into the formula:

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

Calculating \( 4 \times 6 \):

\[
4 \times 6 = 24
\]

Now substitute that back into the volume formula:

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

Calculating \( 3.14 \times 24 \):

\[
3.14 \times 24 = 75.36
\]

Now, divide by 3:

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

Rounding to the nearest cubic inch gives us:

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

The correct response is:

**25 cubic inches**