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 the 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,
- \( \pi \) is approximately 3.14.

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

Now, substitute the values into the formula:

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

First, calculate \( r^2 \):

\[
r^2 = 4^2 = 16
\]

Now substitute back into the volume formula:

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

Now perform the multiplication:

\[
V = 3.14 \times 256
\]

Now calculate \( 3.14 \times 256 \):

\[
3.14 \times 256 = 802.56
\]

Therefore, the volume of the water bottle is approximately:

\[
\boxed{802.56} \text{ cubic inches}
\]