Question

A container that holds flour is shaped like a cylinder. The radius of the container is 4 inches, and the height of the container is 12.5 inches.


Which measurement is closest to the volume of the container in cubic inches?
Responses

A 628.32 in.³628.32 in.³

B 157.08 in.³157.08 in.³

C 314.16 in.³314.16 in.³

D 78.54 in.³78.54 in.³

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, and \( h \) is the height.

Given:

- Radius (\( r \)) = 4 inches
- Height (\( h \)) = 12.5 inches

Now, substituting the values into the formula:

\[
V = \pi (4^2) (12.5)
\]

Calculating \( 4^2 \):

\[
4^2 = 16
\]

Now plugging this back into the volume formula:

\[
V = \pi (16) (12.5)
\]

Now calculating \( 16 \times 12.5 \):

\[
16 \times 12.5 = 200
\]

So now we have:

\[
V = 200\pi
\]

Using \( \pi \approx 3.14 \):

\[
V \approx 200 \times 3.14 = 628
\]

Thus, the volume of the container is approximately \( 628 \) cubic inches.

The closest measurement to this in the provided options is:

**A 628.32 in.³**