Question
A can of vegetables has radius 1.8 in. and height 6.1 in. Find the volume of the can. Use 3.14 for pi.
1.8 in.
6.1 in.
(This figure is not to scale.)
Question content area bottom
Part 1
The volume of the can is about
enter your response here in.cubed.
(Round to the nearest tenth as needed.)
1.8 in.
6.1 in.
(This figure is not to scale.)
Question content area bottom
Part 1
The volume of the can is about
enter your response here in.cubed.
(Round to the nearest tenth as needed.)
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the volume of a cylinder (which is the shape of the can), 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:
- Radius \( r = 1.8 \) inches
- Height \( h = 6.1 \) inches
- π is approximated as 3.14
Now substituting the values into the formula:
\[
V = 3.14 \times (1.8)^2 \times 6.1
\]
First, calculate \( (1.8)^2 \):
\[
(1.8)^2 = 3.24
\]
Now substitute that back into the volume formula:
\[
V = 3.14 \times 3.24 \times 6.1
\]
Next, calculate \( 3.14 \times 3.24 \):
\[
3.14 \times 3.24 = 10.1856
\]
Now multiply this result by 6.1:
\[
10.1856 \times 6.1 = 62.13116
\]
Rounding to the nearest tenth:
\[
V \approx 62.1 \text{ in}^3
\]
Therefore, the volume of the can is approximately **62.1 in³**.
\[
V = \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius, and
- \( h \) is the height.
Given:
- Radius \( r = 1.8 \) inches
- Height \( h = 6.1 \) inches
- π is approximated as 3.14
Now substituting the values into the formula:
\[
V = 3.14 \times (1.8)^2 \times 6.1
\]
First, calculate \( (1.8)^2 \):
\[
(1.8)^2 = 3.24
\]
Now substitute that back into the volume formula:
\[
V = 3.14 \times 3.24 \times 6.1
\]
Next, calculate \( 3.14 \times 3.24 \):
\[
3.14 \times 3.24 = 10.1856
\]
Now multiply this result by 6.1:
\[
10.1856 \times 6.1 = 62.13116
\]
Rounding to the nearest tenth:
\[
V \approx 62.1 \text{ in}^3
\]
Therefore, the volume of the can is approximately **62.1 in³**.
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