Question

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. (1 point)
cubic inches

Answer 1

To find the volume of a cylinder (which is the shape of a water bottle), you can use the formula:

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

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

Given:
- Height (\( h \)) = 16 inches
- Radius (\( r \)) = 4 inches
- \( \pi \) = 3.14

Now, plug in the values:

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

First, calculate \( 4^2 \):

\[
4^2 = 16
\]

Now, substitute back into the volume formula:

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

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

\[
16 \times 16 = 256
\]

Now multiply by \( 3.14 \):

\[
V = 3.14 \times 256
\]

Calculating that gives:

\[
V = 803.84
\]

Thus, the volume of the water bottle is:

\[
\boxed{803.84} \text{ cubic inches}
\]