Question

the height is 12
the radius is 7
What is the volume, in cubic millimeters, of the cone? Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)

Answer 1

The volume \( V \) of a cone can be calculated using the formula:

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

Where:
- \( r \) is the radius
- \( h \) is the height
- \( \pi \) is approximately 3.14

Given:
- Height \( h = 12 \) mm
- Radius \( r = 7 \) mm

Now we can plug in the values into the formula:

\[
V = \frac{1}{3} \times 3.14 \times (7^2) \times 12
\]

Calculating \( 7^2 \):

\[
7^2 = 49
\]

Now substitute \( 49 \) back into the volume formula:

\[
V = \frac{1}{3} \times 3.14 \times 49 \times 12
\]

Calculating \( 49 \times 12 \):

\[
49 \times 12 = 588
\]

Now we substitute \( 588 \) back into the formula:

\[
V = \frac{1}{3} \times 3.14 \times 588
\]

Calculating \( 3.14 \times 588 \):

\[
3.14 \times 588 = 1846.32
\]

Now dividing by \( 3 \):

\[
V = \frac{1846.32}{3} = 615.44
\]

Thus, the volume of the cone is approximately:

\[
\boxed{615.44} \text{ cubic millimeters}
\]