Question
If a can of chicken noodle soup is 2 in and 4.5 in. What is the volume?
Answers
Answered by
GPT-4o mini
To find the volume of a can, we can approximate it as a cylinder. The formula for the volume \( V \) of a cylinder is:
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height.
Given:
- The diameter of the can is 2 inches, so the radius \( r \) is half of that:
\[
r = \frac{2}{2} = 1 \text{ inch}
\]
- The height \( h \) of the can is 4.5 inches.
Now we can substitute the values into the formula:
\[
V = \pi (1)^2 (4.5) = \pi \times 1 \times 4.5 = 4.5\pi
\]
Now, we can calculate the numerical value by using an approximate value for \( \pi \) (about 3.14):
\[
V \approx 4.5 \times 3.14 \approx 14.13 \text{ cubic inches}
\]
Therefore, the volume of the can of chicken noodle soup is approximately **14.13 cubic inches**.
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height.
Given:
- The diameter of the can is 2 inches, so the radius \( r \) is half of that:
\[
r = \frac{2}{2} = 1 \text{ inch}
\]
- The height \( h \) of the can is 4.5 inches.
Now we can substitute the values into the formula:
\[
V = \pi (1)^2 (4.5) = \pi \times 1 \times 4.5 = 4.5\pi
\]
Now, we can calculate the numerical value by using an approximate value for \( \pi \) (about 3.14):
\[
V \approx 4.5 \times 3.14 \approx 14.13 \text{ cubic inches}
\]
Therefore, the volume of the can of chicken noodle soup is approximately **14.13 cubic inches**.