Question

True or false? 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.

Answer 1

To determine whether the statement is true or false, we can 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.

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

Now we can calculate the volume:

\[
V = \pi (4)^2 (16)
\]
\[
= \pi (16)(16)
\]
\[
= 256\pi
\]

Next, we can compute \( 256\pi \) using an approximate value of \( \pi \approx 3.14 \):

\[
V \approx 256 \times 3.14 \approx 804.16 \text{ cubic inches}
\]

Since the calculated volume is approximately \( 804.16 \) cubic inches and not \( 604.56 \) cubic inches,

the statement is **false**.