Question

What is the volume of a cylinder with radius 4 inches and height 10 inches? Use 3.14 for π.

Answer 1

To calculate 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.

Given:
- Radius \( r = 4 \) inches,
- Height \( h = 10 \) inches,
- \( \pi \approx 3.14 \).

Plugging in the values:

\[
V = 3.14 \times (4)^2 \times 10
\]

Calculating \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substituting back into the volume formula:

\[
V = 3.14 \times 16 \times 10
\]

Calculating \( 16 \times 10 \):

\[
16 \times 10 = 160
\]

Now substituting this back into the equation:

\[
V = 3.14 \times 160
\]

Calculating \( 3.14 \times 160 \):

\[
V = 502.4
\]

Therefore, the volume of the cylinder is:

\[
\boxed{502.4} \text{ cubic inches}
\]