Use the image to answer the question.

An oblique cylinder is labeled with a height of 15 centimeters and radius 5 centimeters.

Find the volume of the cylinder below. Use the approximation 3.14 for pi.

(1 point)
Responses

1177.5 cubic centimeters
1177.5 cubic centimeters

1177.5 centimeters
1177.5 centimeters

471 square centimeters
471 square centimeters

235.5 cubic centimeters

1 answer

To find the volume of the oblique 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, and
  • \( h \) is the height.

Given:

  • Radius \( r = 5 \) cm
  • Height \( h = 15 \) cm
  • Using \( \pi \approx 3.14 \)

Now we can substitute the values into the formula:

\[ V = 3.14 \times (5)^2 \times 15 \]

Calculating \( (5)^2 \):

\[ (5)^2 = 25 \]

Now substituting back into the volume formula:

\[ V = 3.14 \times 25 \times 15 \]

Calculating \( 25 \times 15 \):

\[ 25 \times 15 = 375 \]

Now:

\[ V = 3.14 \times 375 \]

Now calculating \( 3.14 \times 375 \):

\[ V = 1177.5 , \text{cubic centimeters} \]

Thus, the volume of the cylinder is 1177.5 cubic centimeters.

So the correct response is:

1177.5 cubic centimeters.