Question

Find the volume of the cylinder in cubic centimeters with a diameter of 3 cm and height of 5 cm . Use 3.14 for pi round your answer to the nearest tenth

Answer 1

To find the volume \( V \) of a cylinder, you can use the formula:

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

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.

Given:
- The diameter of the cylinder is 3 cm, so the radius \( r \) is half of the diameter:

\[
r = \frac{3 \text{ cm}}{2} = 1.5 \text{ cm}
\]

- The height \( h \) of the cylinder is 5 cm.

Now, plug the values into the volume formula:

\[
V = 3.14 \times (1.5 \text{ cm})^2 \times 5 \text{ cm}
\]

Calculating \( (1.5 \text{ cm})^2 \):

\[
(1.5)^2 = 2.25
\]

Now substitute this value back into the volume formula:

\[
V = 3.14 \times 2.25 \times 5
\]

Calculating \( 3.14 \times 2.25 \):

\[
3.14 \times 2.25 = 7.065
\]

Now multiply by the height (5 cm):

\[
V = 7.065 \times 5 = 35.325 \text{ cm}^3
\]

Finally, rounding to the nearest tenth:

\[
V \approx 35.3 \text{ cm}^3
\]

So, the volume of the cylinder is approximately **35.3 cubic centimeters**.