Question

Cones, Cylinders, & Spheres Unit Test
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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. (1 point)
cubic inches
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Answer 1

To find the volume of a cylinder (which is the shape of a typical water bottle), you can use the formula:

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

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

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

Now, substitute the values into the formula:

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

First, calculate \( (4)^2 \):

\[
(4)^2 = 16
\]

Now, plug that back into the formula:

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

Calculate \( 16 \times 16 \):

\[
16 \times 16 = 256
\]

Now, multiply by 3.14:

\[
V = 3.14 \times 256
\]

Calculating that gives:

\[
V = 803.84
\]

Thus, the volume of the water bottle is approximately **803.84 cubic inches**.