Question

volume of the cone with radius of 2 and height of 6, use 3.14 for pie

Answer 1

The formula for the volume \( V \) of a cone is given by:

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

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

Given:
- \( r = 2 \)
- \( h = 6 \)

We can substitute these values into the formula:

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

Calculating \( 2^2 \):

\[
2^2 = 4
\]

Now substitute back into the volume formula:

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

Calculating \( 4 \times 6 \):

\[
4 \times 6 = 24
\]

Now substitute back:

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

Calculating \( 3.14 \times 24 \):

\[
3.14 \times 24 = 75.36
\]

Now divide by 3:

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

Thus, the volume of the cone is:

\[
\boxed{25.12}
\]