Question

volume of the cone with radius of 5 and height of 9, use 3.14 for pie

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,
- and \( \pi \) is approximately 3.14.

Given:
- Radius \( r = 5 \)
- Height \( h = 9 \)

Now plug in the values:

\[
V = \frac{1}{3} \times 3.14 \times (5^2) \times 9
\]

Calculating \( 5^2 \):

\[
5^2 = 25
\]

Now substitute back into the volume formula:

\[
V = \frac{1}{3} \times 3.14 \times 25 \times 9
\]

Calculating \( 25 \times 9 \):

\[
25 \times 9 = 225
\]

Now the formula becomes:

\[
V = \frac{1}{3} \times 3.14 \times 225
\]

Calculating \( 3.14 \times 225 \):

\[
3.14 \times 225 = 706.5
\]

Now, divide by 3:

\[
V = \frac{706.5}{3} = 235.5
\]

Thus, the volume of the cone is:

\[
\boxed{235.5}
\] cubic units.