Question

What is the volume, in cubic millimeters, of the cone? Use 3.14 for
pi. Round your answer to the nearest hundredth. (1 point) so there is a 14 but 7 in this case is r and there is a 12mm in the middle

Answer 1

To find the volume \( V \) of a cone, the formula is:

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

where \( r \) is the radius and \( h \) is the height of the cone.

From your description, it seems you have the following values:
- The radius \( r = 7 \) mm
- The height \( h = 12 \) mm

Now we can substitute these values into the formula:

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

Calculating \( (7)^2 \):

\[
(7)^2 = 49
\]

Now substituting that into the volume formula:

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

Calculating \( 49 \times 12 \):

\[
49 \times 12 = 588
\]

Now substituting back into the volume formula:

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

Next, we calculate \( 3.14 \times 588 \):

\[
3.14 \times 588 = 1847.92
\]

Now divide by 3:

\[
V = \frac{1847.92}{3} \approx 615.9733
\]

Rounding to the nearest hundredth gives:

\[
V \approx 615.97 \text{ cubic millimeters}
\]

So the volume of the cone is approximately **615.97 cubic millimeters**.