Question

the radius is 3
the slainght height is 8
the height is 6
Find the volume of the slainghted cylinder.- Use 3.14 for pi.

(1 point)
Responses

226.08 cubic centimeters
226.08 cubic centimeters

339.12 cubic centimeters
339.12 cubic centimeters

169.56 cubic centimeters
169.56 cubic centimeters

678.24 cubic centimeters

Answer 1

To find the volume of a slanted cylinder (also commonly referred to as a right circular cylinder), we 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
- \( h \) is the height
- \( \pi \) is a constant (here you are using 3.14)

Given that:
- The radius \( r = 3 \) cm
- The height \( h = 6 \) cm
- \( \pi \approx 3.14 \)

Plugging these values into the formula:

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

Calculate \( 3^2 \):

\[
3^2 = 9
\]

Now substitute back into the volume formula:

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

Calculate \( 9 \times 6 \):

\[
9 \times 6 = 54
\]

Now substitute:

\[
V = 3.14 \times 54
\]

Calculate \( 3.14 \times 54 \):

\[
3.14 \times 54 = 169.56
\]

Thus, the volume of the slanted cylinder is \( \text{169.56 cubic centimeters} \).

The correct response is:

**169.56 cubic centimeters**.