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

226.08 cubic centimeters
226.08 cubic centimeters

678.24 cubic centimeters
678.24 cubic centimeters

169.56 cubic centimeters

Answer 1

To find the volume of the cylinder, we can use the formula for the volume of a cylinder:

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

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

In this case:
- The radius \( r = 3 \) cm
- The height \( h = 6 \) cm
- We will use \( \pi \approx 3.14 \)

Now we can substitute the values into the formula:

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

First, calculate \( (3)^2 \):

\[ (3)^2 = 9 \]

Now substitute that into the volume formula:

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

Now multiply \( 9 \times 6 \):

\[ 9 \times 6 = 54 \]

Now substitute that back into the volume formula:

\[ V = 3.14 \times 54 \]

Now calculate \( 3.14 \times 54 \):

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

Therefore, the volume of the cylinder is **169.56 cubic centimeters**.

So the answer is:

**169.56 cubic centimeters**.