Question
A)Find the volume of a cylinder with a radius of 12 mm and a height of 5.5 mm.(1 point)
Responses
792π mm3
792 pi mm cubed
132π mm3
132 pi mm cubed
363π mm3
363 pi mm cubed
66π mm3
Responses
792π mm3
792 pi mm cubed
132π mm3
132 pi mm cubed
363π mm3
363 pi mm cubed
66π mm3
Answers
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:
- Radius \( r = 12 \) mm
- Height \( h = 5.5 \) mm
Substituting the values into the formula:
\[
V = \pi (12)^2 (5.5)
\]
\[
V = \pi (144) (5.5)
\]
\[
V = \pi (792)
\]
Therefore, the volume of the cylinder is:
\[
792\pi \text{ mm}^3
\]
The correct response is:
**792π mm³** (or 792 pi mm cubed).
\[
V = \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height.
Given:
- Radius \( r = 12 \) mm
- Height \( h = 5.5 \) mm
Substituting the values into the formula:
\[
V = \pi (12)^2 (5.5)
\]
\[
V = \pi (144) (5.5)
\]
\[
V = \pi (792)
\]
Therefore, the volume of the cylinder is:
\[
792\pi \text{ mm}^3
\]
The correct response is:
**792π mm³** (or 792 pi mm cubed).
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