Question

height: 15 cm
radius: 5 cm

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

471 square cm

1177.3 cm

1177.5 cubic cm

235.5 cubic cm

Answer 1

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

\[
\text{Volume} = \pi r^2 h
\]

where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.

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

Now, we can calculate the volume:

1. Calculate \( r^2 \):
\[
r^2 = 5^2 = 25 \text{ cm}^2
\]

2. Substitute into the volume formula:
\[
\text{Volume} = 3.14 \times 25 \times 15
\]

3. Calculate \( 3.14 \times 25 \):
\[
3.14 \times 25 = 78.5
\]

4. Multiply by the height:
\[
78.5 \times 15 = 1177.5 \text{ cubic cm}
\]

Thus, the volume of the cylinder is \( 1177.5 \) cubic cm. The correct answer from the options provided is:

**1177.5 cubic cm**.