Question

Use the image to answer the question.

A 3 D oblique cylinder shows a length of 10 meters and a perpendicular height of 7 meters. The base radius is 4 meters.

Find the volume of the cylinder, in cubic meters. Use 3.14 for pi. Round your answer to the nearest hundredth

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 of the base, and \( h \) is the height.

Given:

  • Radius \( r = 4 \) meters
  • Height \( h = 7 \) meters
  • Using \( \pi \approx 3.14 \)

Now, plug the values into the formula:

\[ V = 3.14 \times (4^2) \times 7 \]

First, calculate \( 4^2 \):

\[ 4^2 = 16 \]

Now multiply that by the height:

\[ 16 \times 7 = 112 \]

Now multiply by \( \pi \):

\[ V = 3.14 \times 112 \]

Calculating that gives:

\[ V = 351.68 \]

Thus, the volume of the cylinder is approximately:

\[ \boxed{351.68} \text{ cubic meters} \]

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