Question

find the volume of the cylinder, in cubic centimeters (mm3). Radius= 7 cm, height= 13 cm. Round your answer to the nearest hundredth.
- 285.74
- 307.72
- 2000.18
- 1714.44
- 1061.32
- 571.48

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, and
- \( h \) is the height.

Given:
- Radius \( r = 7 \) cm
- Height \( h = 13 \) cm

Now, substitute the values into the formula:

\[
V = \pi (7^2)(13)
\]

First, calculate \( 7^2 \):

\[
7^2 = 49
\]

Now multiply by the height:

\[
49 \times 13 = 637
\]

Now multiply by \( \pi \) (approximately 3.14159):

\[
V \approx 3.14159 \times 637 \approx 2000.18 \text{ cm}^3
\]

Thus, the volume of the cylinder is approximately **2000.18 cm³** when rounded to the nearest hundredth.

Therefore, the correct answer is:
- 2000.18