Question

Find the volume of a right circular cylinder with a height of 5 cm and a diameter of 6 cm. Use 3.14 for π . Include two decimal places. (1 point)

Answer 1

To find the volume of a right circular 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:
- Height \( h = 5 \) cm
- Diameter = 6 cm, so the radius \( r = \frac{6}{2} = 3 \) cm.

Now substitute the values into the formula using \( \pi \approx 3.14 \):

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

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 substitute again:

\[
V = 3.14 \times 45
\]

Calculating \( 3.14 \times 45 \):

\[
V = 141.3
\]

So, the volume of the cylinder is:

\[
\boxed{141.30} \text{ cm}^3
\]

This includes two decimal places as requested.