Use the image to answer the question.

A 3 D oblique cylinder shows a length of 8 centimeters and perpendicular height of 6 centimeters. The base radius is 3 centimeters.

Find the volume of the cylinder.- Use 3.14 for pi.

(1 point)
Responses

339.12 cubic centimeters
339.12 cubic centimeters

678.24 cubic centimeters
678.24 cubic centimeters

226.08 cubic centimeters
226.08 cubic centimeters

169.56 cubic centimeters

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,
  • \( h \) is the height of the cylinder.

From the information given:

  • Radius (\( r \)) = 3 cm
  • Height (\( h \)) = 6 cm
  • Using \( \pi \) = 3.14

Now plug in the values into the formula:

\[ V = 3.14 \times (3^2) \times 6 \]

Calculating \( 3^2 \):

\[ 3^2 = 9 \]

Now substituting back into the volume formula:

\[ V = 3.14 \times 9 \times 6 \]

Calculating \( 9 \times 6 \):

\[ 9 \times 6 = 54 \]

Now substituting that back:

\[ V = 3.14 \times 54 \]

Calculating \( 3.14 \times 54 \):

\[ V = 169.56 \text{ cubic centimeters} \]

So the volume of the cylinder is 169.56 cubic centimeters.

The correct answer is:

169.56 cubic centimeters.

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