Question

A cylindrical water bottle has a height of 16 inches and a radius of 4 inches. This cylinder has a volume of 604.56 cubic inches.
-true
-false

Answer 1

To determine whether the statement is true or false, we can calculate the volume of the cylindrical water bottle using 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.

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

Now, plug the values into the formula:

\[
V = \pi (4)^2 (16)
\]
\[
V = \pi (16) (16)
\]
\[
V = \pi (256)
\]
\[
V \approx 3.14 \times 256
\]
\[
V \approx 804.16 \text{ cubic inches}
\]

Thus, the volume of the cylinder is approximately 804.16 cubic inches, not 604.56 cubic inches.

So, the statement is **false**.