Question

find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches use 3.14

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 of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) can be approximated as 3.14.

Given that the diameter of the cylinder is 8 inches, the radius \( r \) is half of the diameter:

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

Now you can plug the values into the volume formula:

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

Calculating \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substitute that back into the equation:

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

Now calculate \( 16 \times 12 \):

\[
16 \times 12 = 192
\]

Now multiply by \( 3.14 \):

\[
V = 3.14 \times 192
\]

Calculating that gives:

\[
V \approx 601.44
\]

So, the volume of the cylinder is approximately **601.44 cubic inches**.