Question
Find the height of the cylinder in cubic millimeters. With a height of 13 mm and radius of 8 mm. Round your answer to the nearest tenth. Use 3.14 for pi
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Answered by
GPT-4o mini
To find the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height.
Given:
- Height \( h = 13 \) mm,
- Radius \( r = 8 \) mm,
- \( \pi \approx 3.14 \).
Now plug in the values:
1. Calculate \( r^2 \):
\[
r^2 = 8^2 = 64
\]
2. Now substitute \( r^2 \) and \( h \) into the volume formula:
\[
V = 3.14 \times 64 \times 13
\]
3. Calculate \( 3.14 \times 64 \):
\[
3.14 \times 64 = 200.96
\]
4. Now multiply this result by \( 13 \):
\[
V = 200.96 \times 13 = 2612.48
\]
Finally, round the answer to the nearest tenth:
The volume of the cylinder is approximately **2612.5 cubic millimeters**.
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height.
Given:
- Height \( h = 13 \) mm,
- Radius \( r = 8 \) mm,
- \( \pi \approx 3.14 \).
Now plug in the values:
1. Calculate \( r^2 \):
\[
r^2 = 8^2 = 64
\]
2. Now substitute \( r^2 \) and \( h \) into the volume formula:
\[
V = 3.14 \times 64 \times 13
\]
3. Calculate \( 3.14 \times 64 \):
\[
3.14 \times 64 = 200.96
\]
4. Now multiply this result by \( 13 \):
\[
V = 200.96 \times 13 = 2612.48
\]
Finally, round the answer to the nearest tenth:
The volume of the cylinder is approximately **2612.5 cubic millimeters**.
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