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 centimeters
1177.5 centimeters

471 square centimeters
471 square centimeters

1177.5 cubic centimeters
1177.5 cubic centimeters

235.5 cubic centimeters

Answer 1

To find the volume \( V \) of a cylinder, we use the formula:

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

where:
- \( r \) is the radius of the base,
- \( h \) is the height,
- \( \pi \) is a constant approximately equal to 3.14.

Given:
- The height \( h = 15 \) cm,
- The radius \( r = 5 \) cm,
- Using \( \pi \approx 3.14 \).

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 \( 3.14 \times 25 \):

\[
3.14 \times 25 = 78.5
\]

Now, multiply by the height:

\[
V = 78.5 \times 15
\]

Finally, calculate \( 78.5 \times 15 \):

\[
78.5 \times 15 = 1177.5
\]

So, the volume of the cylinder is:

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

The correct response is:

**1177.5 cubic centimeters**