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

226.08 cubic centimeters
226.08 cubic centimeters

678.24 cubic centimeters
678.24 cubic centimeters

169.56 cubic centimeters

Answer 1

To find the volume of a cylinder, including an oblique cylinder, we 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 problem, we have:
- \( r = 3 \) cm (base radius),
- \( h = 6 \) cm (perpendicular height).

Now, substituting the values into the formula:

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

Calculating \( (3)^2 \):

\[
(3)^2 = 9
\]

Now, substituting this back into the volume formula:

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

Calculating \( 9 \times 6 \):

\[
9 \times 6 = 54
\]

So now we can calculate:

\[
V = 3.14 \times 54
\]

Now, performing the multiplication:

\[
3.14 \times 54 = 169.56
\]

Thus, the volume of the oblique cylinder is:

\[
\boxed{169.56} \text{ cubic centimeters}
\]