Question

Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches. Use 3.14 for pi.........

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, and \( h \) is the height of the cylinder.

1. First, determine the radius. The diameter is given as 8 inches, so the radius \( r \) is half of the diameter:

\[
r = \frac{d}{2} = \frac{8}{2} = 4 \text{ inches}
\]

2. Now, substitute the values into the volume formula. The height \( h \) is 12 inches, and we are using \( \pi \approx 3.14 \):

\[
V = 3.14 \times (4)^2 \times 12
\]

3. Calculate \( (4)^2 \):

\[
(4)^2 = 16
\]

4. Now substitute this back into the volume equation:

\[
V = 3.14 \times 16 \times 12
\]

5. First, calculate \( 16 \times 12 \):

\[
16 \times 12 = 192
\]

6. Now, multiply by \( 3.14 \):

\[
V = 3.14 \times 192
\]

7. Finally, calculate \( 3.14 \times 192 \):

\[
V = 602.88
\]

Therefore, the volume of the cylinder is

\[
\boxed{602.88} \text{ cubic inches.}
\]