Question

A water bottle has a height of 16 inches and a radius of 4 inches. What is the volume, in cubic inches, of the water bottle? Use 3.14 for pi. Express your answer as a decimal rounded to the nearest hundredth. (1 point)
cubic inches

Answer 1

To find the volume of the water bottle, which is in the shape of a cylinder, we use the formula for the volume of a cylinder:

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

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

Given:
- Height \( h = 16 \) inches,
- Radius \( r = 4 \) inches.

Substituting the values into the formula:

\[
V = 3.14 \times (4)^2 \times 16
\]

First, calculate \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substitute back into the volume formula:

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

Next, multiply \( 16 \times 16 \):

\[
16 \times 16 = 256
\]

Now multiply by \( 3.14 \):

\[
V = 3.14 \times 256
\]

Calculating this:

\[
3.14 \times 256 = 804.16
\]

Therefore, the volume of the water bottle is:

\[
\boxed{804.16} \text{ cubic inches}
\]