Question

Find the volume of the cylinder in cubic centimeters use 3.14 for pi with height of 5 cm and radius of 3 cm

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 3.14.

In this case, the radius \( r \) is 3 cm and the height \( h \) is 5 cm. Plugging in the values:

\[
V = 3.14 \times (3 \, \text{cm})^2 \times 5 \, \text{cm}
\]

First, calculate \( (3 \, \text{cm})^2 \):

\[
(3 \, \text{cm})^2 = 9 \, \text{cm}^2
\]

Now substitute this back into the volume formula:

\[
V = 3.14 \times 9 \, \text{cm}^2 \times 5 \, \text{cm}
\]

Now calculate \( 3.14 \times 9 \):

\[
3.14 \times 9 = 28.26
\]

Now multiply by the height:

\[
V = 28.26 \, \text{cm}^2 \times 5 \, \text{cm} = 141.3 \, \text{cm}^3
\]

Thus, the volume of the cylinder is

\[
\boxed{141.3} \, \text{cm}^3
\]