Question

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

678.24 cubic centimeters

169.56 cubic centimeters

339.12 cubic centimeters

226.08 cubic centimeters

1 answer

To find the volume of an oblique cylinder, you can use the formula for the volume of a cylinder, which is given by:

\[ V = \pi r^2 h \]

where:

  • \( V \) is the volume,
  • \( r \) is the radius of the base,
  • \( h \) is the height of the cylinder.

In this case:

  • \( r = 3 \) centimeters,
  • \( h = 6 \) centimeters,
  • \( \pi \approx 3.14 \).

Now substituting these values into the formula:

\[ V = 3.14 \times (3 , \text{cm})^2 \times 6 , \text{cm} \]

Calculating:

  1. Calculate \( (3 , \text{cm})^2 \):

\[ (3 , \text{cm})^2 = 9 , \text{cm}^2 \]

  1. Now, plug this value into the volume formula:

\[ V = 3.14 \times 9 , \text{cm}^2 \times 6 , \text{cm} \]

  1. Calculate \( 9 \times 6 \):

\[ 9 \times 6 = 54 \]

  1. Now multiply by \( 3.14 \):

\[ V = 3.14 \times 54 \]

  1. Calculate \( 3.14 \times 54 \):

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

So the volume of the cylinder is:

169.56 cubic centimeters.

The correct response is:

169.56 cubic centimeters.

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