Question

find the volume for the cylinder
height: 12.4 cm^3
radius: 6.2 cm^3

3.14 for pi
use pi x r^2 x h

Answer 1

To find the volume of a cylinder, use the formula:

\[
V = \pi r^2 h
\]

Where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height.

Given:
- \( r = 6.2 \) cm
- \( h = 12.4 \) cm
- \( \pi \approx 3.14 \)

Now, first calculate \( r^2 \):

\[
r^2 = (6.2)^2 = 38.44 \, \text{cm}^2
\]

Next, plug in the values into the volume formula:

\[
V = 3.14 \times 38.44 \times 12.4
\]

Now calculate the volume:

1. Calculate \( 3.14 \times 38.44 \):

\[
3.14 \times 38.44 \approx 120.4786
\]

2. Now multiply that by the height (12.4 cm):

\[
120.4786 \times 12.4 \approx 1496.93064
\]

So, the volume \( V \) of the cylinder is approximately:

\[
V \approx 1496.93 \, \text{cm}^3
\]

Thus, the volume of the cylinder is about **1496.93 cm³**.