Question

find the volume for the cylinder
height: 12.4
radius: 6.2

Answer 1

The volume \( V \) of a cylinder can be calculated using the formula:

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

where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder, and
- \( \pi \) is approximately \( 3.14159 \).

Given:
- Height (\( h \)) = 12.4
- Radius (\( r \)) = 6.2

Now, substituting the values into the formula:

\[
V = \pi (6.2)^2 (12.4)
\]

First, calculate \( (6.2)^2 \):

\[
(6.2)^2 = 38.44
\]

Now, substitute this back into the volume formula:

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

Next, multiply \( 38.44 \) by \( 12.4 \):

\[
38.44 \times 12.4 = 476.256
\]

Now, use the value of \( \pi \):

\[
V \approx 3.14159 \times 476.256 \approx 1499.134
\]

Thus, the volume of the cylinder is approximately:

\[
V \approx 1499.13 \, \text{cubic units}
\]