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

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

Answer 1

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**.