Question

A cylindrical water bottle has a diameter of 2in
and a height of 8in
. What is the volume of the water bottle?

Use pi = 3.14
and round your final answer to the nearest hundredth.

Volume = in3

Answer 1

To find the volume of a cylindrical water bottle, we can use the formula for the volume \( V \) of a cylinder:

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

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder, and
- \( \pi \) is a constant approximately equal to 3.14.

Given:
- The diameter of the bottle is 2 inches, so the radius \( r \) is half of that:

\[
r = \frac{diameter}{2} = \frac{2}{2} = 1 \text{ inch}
\]

- The height \( h \) of the bottle is 8 inches.

Now we can substitute the values into the volume formula:

\[
V = 3.14 \times (1)^2 \times 8
\]

Calculating \( (1)^2 \):

\[
(1)^2 = 1
\]

Now substituting this back into the formula:

\[
V = 3.14 \times 1 \times 8
\]

Now calculating \( 3.14 \times 8 \):

\[
3.14 \times 8 = 25.12
\]

Therefore, the volume of the water bottle is:

\[
\boxed{25.12} \text{ in}^3
\]