Question

Cones, Cylinders, & Spheres Unit Test
2 of 152 of 15 Items



Question
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

235.5 cubic centimeters
235.5 cubic centimeters

1177.5 centimeters
1177.5 centimeters

471 square 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,
- \( h \) is the height, and
- \( \pi \) is approximately equal to 3.14.

Given:
- Radius \( r = 5 \) centimeters,
- Height \( h = 15 \) centimeters,
- \( \pi \approx 3.14 \).

Now, substitute the values into the formula:

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

First, calculate \( (5)^2 \):

\[ (5)^2 = 25 \]

Now, substitute this back into the volume formula:

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

Next, calculate \( 25 \times 15 \):

\[ 25 \times 15 = 375 \]

Now substitute this into the volume equation:

\[ V = 3.14 \times 375 \]

Finally, calculate \( 3.14 \times 375 \):

\[ V = 1177.5 \]

Thus, the volume of the cylinder is:

**1177.5 cubic centimeters**.

The correct response is:

**1177.5 cubic centimeters**.