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:
- Calculate \( (3 , \text{cm})^2 \):
\[ (3 , \text{cm})^2 = 9 , \text{cm}^2 \]
- Now, plug this value into the volume formula:
\[ V = 3.14 \times 9 , \text{cm}^2 \times 6 , \text{cm} \]
- Calculate \( 9 \times 6 \):
\[ 9 \times 6 = 54 \]
- Now multiply by \( 3.14 \):
\[ V = 3.14 \times 54 \]
- 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.