Question

A soup can has a diameter of 8 cm and a height of 12 cm. What is the volume of the soup can? Use 3.14 for Pi.

A cylinder has a height of 12 centimeters and diameter of 8 centimeters.
192.00 cubic centimeters
301.44 cubic centimeters
602.88 cubic centimeters
2,411.52 cubic centimeters

Answer 1

To find the volume of a cylinder, you can use the formula:

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

where:
- \( V \) is the volume,
- \( \pi \) (Pi) is approximately 3.14,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.

First, you need to find the radius. Since the diameter is 8 cm, the radius \( r \) is:

\[
r = \frac{d}{2} = \frac{8}{2} = 4 \text{ cm}
\]

Now, you can plug the radius and height into the volume formula:

\[
V = 3.14 \times (4)^2 \times 12
\]

Calculating \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substitute this value back into the volume formula:

\[
V = 3.14 \times 16 \times 12
\]

Now calculate \( 16 \times 12 \):

\[
16 \times 12 = 192
\]

Now multiply by 3.14:

\[
V = 3.14 \times 192
\]

Calculating \( 3.14 \times 192 \):

\[
3.14 \times 192 = 602.88
\]

Thus, the volume of the soup can is:

\[
602.88 \text{ cubic centimeters}
\]

The correct answer is **602.88 cubic centimeters**.