Question

A cylinder has a radius of 3cm and a side of 5 cm
Find the volume of the cylinder, in cubic centimeters. Use 3.14 for pi. Round your answer to the nearest tenth.

Answer 1

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

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

where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.

Given:
- Radius (\( r \)) = 3 cm
- Height (\( h \)) = 5 cm
- \( \pi \) ≈ 3.14

Now, substitute the values into the formula:

\[
V = 3.14 \times (3^2) \times 5
\]

First, calculate \( 3^2 \):

\[
3^2 = 9
\]

Now substitute this back into the equation:

\[
V = 3.14 \times 9 \times 5
\]

Calculate \( 9 \times 5 \):

\[
9 \times 5 = 45
\]

Now substitute this back into the equation:

\[
V = 3.14 \times 45
\]

Now multiply:

\[
3.14 \times 45 = 141.3
\]

Thus, the volume of the cylinder is approximately \( 141.3 \) cubic centimeters.

Rounded to the nearest tenth, the volume is:

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