Question

Cones, Cylinders, & Spheres Unit Test
6 of 156 of 15 Items










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

Answer 1

To find the volume of a cylinder (which is the shape of the water bottle), you 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,
- \( \pi \) is approximately 3.14.

Given:
- Height \( h = 16 \) inches,
- Radius \( r = 4 \) inches,
- \( \pi \approx 3.14 \).

Now, plug in the values into the formula:

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

First, calculate \( 4^2 \):

\[
4^2 = 16
\]

Now substitute this back into the volume formula:

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

Next, calculate \( 16 \times 16 \):

\[
16 \times 16 = 256
\]

Now substitute this value into the formula:

\[
V = 3.14 \times 256
\]

Now perform the multiplication:

\[
V = 803.84
\]

Therefore, the volume of the water bottle is approximately \( 803.84 \) cubic inches.