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

1 answer

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
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