Question

find the volume of the cylinder, in cubic centimeters. Use 3.14 for pi. Round your answer to the nearest tenth. Radius is 3 cm and height is 5 cm

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,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.

Given:
- Radius \( r = 3 \, \text{cm} \)
- Height \( h = 5 \, \text{cm} \)

Substituting the values into the formula:

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

Calculating \( 3^2 \):

\[
3^2 = 9
\]

Now substitute back into the volume formula:

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

Calculating \( 9 \times 5 \):

\[
9 \times 5 = 45
\]

Now multiply by \( 3.14 \):

\[
V = 3.14 \times 45
\]

Calculating that:

\[
V = 141.3
\]

Thus, the volume of the cylinder is approximately \( 141.3 \, \text{cm}^3 \).

Rounding to the nearest tenth, the final answer is:

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