Question

Find the volume of a cylinder with a diameter of 14 inches and a height of 12 inches. Use 3.14 for π
.

7,385.28 in3

263.76 in3

1,846.32 in3

527.52 in3

Answer 1

To find the volume of a cylinder, you can use the formula:

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

where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- and \( \pi \) is approximately 3.14.

Given:
- Diameter = 14 inches, so the radius \( r \) is half of that:
\[
r = \frac{14}{2} = 7 \text{ inches}
\]
- Height \( h = 12 \) inches.

Now, substitute the values into the formula:

\[
V = 3.14 \times (7^2) \times 12
\]

Calculating \( 7^2 \):
\[
7^2 = 49
\]

Now substitute back in:

\[
V = 3.14 \times 49 \times 12
\]

Calculating \( 49 \times 12 \):
\[
49 \times 12 = 588
\]

Now substitute back in:

\[
V = 3.14 \times 588
\]

Now calculate \( 3.14 \times 588 \):
\[
V = 3457.92 \text{ cubic inches}
\]

Thus, if we break it down correctly, the final volume should actually be:

\[
V = 3.14 \times 588 = 1846.32 \text{ cubic inches}
\]

So, the correct answer is:

**1,846.32 in³**.