Question

What is the volume, in cubic inches, of a cone with a diameter of 6 inches and a height of 7 inches? Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)
cubic inches m

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.

First, let's find the radius. The diameter of the cone is given as 6 inches, so the radius \( r \) is half of that:

\[
r = \frac{6}{2} = 3 \text{ inches}
\]

The height \( h \) is given as 7 inches. Now, we can plug these values into the volume formula, using \( \pi \) as 3.14:

\[
V = \frac{1}{3} \times 3.14 \times (3)^2 \times 7
\]

Calculating \( (3)^2 \):

\[
(3)^2 = 9
\]

Now substitute back into the formula:

\[
V = \frac{1}{3} \times 3.14 \times 9 \times 7
\]

Calculating \( 9 \times 7 \):

\[
9 \times 7 = 63
\]

Now substitute that back in:

\[
V = \frac{1}{3} \times 3.14 \times 63
\]

Calculating \( 3.14 \times 63 \):

\[
3.14 \times 63 \approx 197.82
\]

Now divide by 3:

\[
V = \frac{197.82}{3} \approx 65.94
\]

So, the volume of the cone is approximately:

\[
\boxed{65.94} \text{ cubic inches}
\]