Question

a water bottle has a height of 30 inches and a radius of 8 inches. What is the volume, in cubic inches, of the water bottle? use 3.14 for pi
- 753.6
- 6028.8
- 7680
- 1507.2
- 5652
- 3014.4

Answer 1

To find the volume of a cylinder, we use the formula:

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

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

Given:
- Height (\( h \)) = 30 inches
- Radius (\( r \)) = 8 inches

Substituting the values into the formula:

\[
V = 3.14 \times (8)^2 \times 30
\]

First, calculate \( (8)^2 \):

\[
(8)^2 = 64
\]

Now substitute back into the formula:

\[
V = 3.14 \times 64 \times 30
\]

Next, calculate \( 64 \times 30 \):

\[
64 \times 30 = 1920
\]

Now substitute back into the formula:

\[
V = 3.14 \times 1920
\]

Now calculate \( 3.14 \times 1920 \):

\[
3.14 \times 1920 = 6028.8
\]

Thus, the volume of the water bottle is:

\[
\boxed{6028.8}
\]

The correct answer is **6028.8** cubic inches.