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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

169.56 cubic centimeters
169.56 cubic centimeters

226.08 cubic centimeters
226.08 cubic centimeters

678.24 cubic centimeters
678.24 cubic centimeters

339.12 cubic centimeters

1 answer

The volume \( V \) of a cylinder can be calculated using the formula:

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

where \( r \) is the base radius and \( h \) is the height of the cylinder.

Given:

  • Base radius \( r = 3 \) cm
  • Perpendicular height \( h = 6 \) cm
  • Use \( \pi = 3.14 \)

Now, substituting the values into the formula:

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

Calculating \( (3)^2 \):

\[ (3)^2 = 9 \]

Now substitute back into the volume formula:

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

Calculating \( 9 \times 6 \):

\[ 9 \times 6 = 54 \]

Now substitute again:

\[ V = 3.14 \times 54 \]

Calculating \( 3.14 \times 54 \):

\[ V = 169.56 \]

Thus, the volume of the cylinder is:

\[ \text{169.56 cubic centimeters} \]

So the answer is:

169.56 cubic centimeters.