Question

What is the volume in cubic millimeters of the cone with the height of 12mm and radius of 14mm use 3.14 for pi round ur answer to the nearest hundredth

Answer 1

To find the volume \( V \) of a cone, you can use the following formula:

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

where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cone, and
- \( \pi \) is a constant approximately equal to 3.14.

Given:
- \( r = 14 \) mm,
- \( h = 12 \) mm,
- \( \pi \approx 3.14 \).

Now, plug the values into the formula:

\[
V = \frac{1}{3} \times 3.14 \times (14)^2 \times 12
\]

First, calculate \( (14)^2 \):

\[
(14)^2 = 196
\]

Now, substitute this value back into the volume formula:

\[
V = \frac{1}{3} \times 3.14 \times 196 \times 12
\]

Calculate \( 196 \times 12 \):

\[
196 \times 12 = 2352
\]

Now, substitute this back into the volume formula:

\[
V = \frac{1}{3} \times 3.14 \times 2352
\]

Calculate \( 3.14 \times 2352 \):

\[
3.14 \times 2352 = 7394.88
\]

Now, divide by 3 to find the volume:

\[
V = \frac{7394.88}{3} \approx 2464.96
\]

Rounding to the nearest hundredth, the volume of the cone is:

\[
\boxed{2464.96} \text{ cubic millimeters}
\]