Question

A soda can is 7 inches high and has a diameter of 6 inches. Approximately how much soda can the can hold?

Question 2 options:

132 cubic inches


198 cubic inches


66 cubic inches


792 cubic inches

Answer 1

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

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

where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height.

First, we need to determine the radius. The diameter of the can is given as 6 inches, so the radius \( r \) is half of the diameter:

\[
r = \frac{6}{2} = 3 \text{ inches}
\]

Now, we can substitute the radius and the height of the can into the volume formula. The height \( h \) is given as 7 inches:

\[
V = \pi (3)^2 (7)
\]

Calculating this step by step:

1. Calculate \( r^2 \):
\[
3^2 = 9
\]

2. Multiply by the height \( h \):
\[
9 \times 7 = 63
\]

3. Now multiply by \( \pi \):
\[
V = 63\pi
\]

Using an approximate value for \( \pi \) (about 3.14):

\[
V \approx 63 \times 3.14 \approx 197.82
\]

Rounding this to the nearest whole number, the volume is approximately 198 cubic inches.

Therefore, the answer is:

**198 cubic inches**