Question

Use the image to answer the question.

A 3 D oblique cylinder shows a length of 8 centimeters and perpendicular height of 6 centimeters. The base radius is 3 centimeters.

Find the volume of the cylinder.- Use 3.14 for pi.

(1 point)
Responses

339.12 cubic centimeters
339.12 cubic centimeters

678.24 cubic centimeters
678.24 cubic centimeters

226.08 cubic centimeters
226.08 cubic centimeters

169.56 cubic centimeters

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.

From the information given:
- Radius (\( r \)) = 3 cm
- Height (\( h \)) = 6 cm
- Using \( \pi \) = 3.14

Now plug in the values into the formula:

\[
V = 3.14 \times (3^2) \times 6
\]

Calculating \( 3^2 \):

\[
3^2 = 9
\]

Now substituting back into the volume formula:

\[
V = 3.14 \times 9 \times 6
\]

Calculating \( 9 \times 6 \):

\[
9 \times 6 = 54
\]

Now substituting that back:

\[
V = 3.14 \times 54
\]

Calculating \( 3.14 \times 54 \):

\[
V = 169.56 \text{ cubic centimeters}
\]

So the volume of the cylinder is **169.56 cubic centimeters**.

The correct answer is:

**169.56 cubic centimeters**.