Question

Find the volume of a right circular cylinder with a height of 12 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, we can use the formula:

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

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

First, we need to find the radius. The diameter of the cylinder is given as 6 cm, so the radius \( r \) is half of the diameter:

\[
r = \frac{d}{2} = \frac{6 \text{ cm}}{2} = 3 \text{ cm}
\]

Now, we can substitute the values for \( r \) and \( h \) into the volume formula. The height \( h \) is given as 12 cm, and we will use \( \pi \approx 3.14 \):

\[
V = 3.14 \times (3 \text{ cm})^2 \times 12 \text{ cm}
\]

Calculating \( (3 \text{ cm})^2 \):

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

Now substituting this back into the volume formula:

\[
V = 3.14 \times 9 \text{ cm}^2 \times 12 \text{ cm}
\]

Calculating \( 3.14 \times 9 \):

\[
3.14 \times 9 = 28.26
\]

Now we multiply by the height (12 cm):

\[
V = 28.26 \text{ cm}^2 \times 12 \text{ cm} = 339.12 \text{ cm}^3
\]

Therefore, the volume of the cylinder is

\[
\boxed{339.12 \text{ cm}^3}
\]